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Finding the Fourth Proportional to 209,583.59, 289,225.35 and 114,090.98

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Solution

The fourth proportional to 209,583.59, 289,225.35 and 114,090.98 is: 157,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,583.59 : 289,225.35 = 114,090.98 : x
  2. Step 2: Convert to fraction form
    209,583.59/289,225.35 = 114,090.98/x
  3. Step 3: Cross multiply
    209,583.59x = 289,225.35 × 114,090.98
  4. Step 4: Simplify right side
    209,583.59x = 32,998,002,176.22
  5. Step 5: Solve for x
    x = 32,998,002,176.22/209,583.59
  6. Step 6: Final answer
    x = 157,445.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.