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Finding the Fourth Proportional to 209,482.96, 289,081.76 and 113,989.92

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Solution

The fourth proportional to 209,482.96, 289,081.76 and 113,989.92 is: 157,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,482.96 : 289,081.76 = 113,989.92 : x
  2. Step 2: Convert to fraction form
    209,482.96/289,081.76 = 113,989.92/x
  3. Step 3: Cross multiply
    209,482.96x = 289,081.76 × 113,989.92
  4. Step 4: Simplify right side
    209,482.96x = 32,952,406,695.86
  5. Step 5: Solve for x
    x = 32,952,406,695.86/209,482.96
  6. Step 6: Final answer
    x = 157,303.52

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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.