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Finding the Fourth Proportional to 209,798.55, 289,525.32 and 114,305.22

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Solution

The fourth proportional to 209,798.55, 289,525.32 and 114,305.22 is: 157,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798.55 : 289,525.32 = 114,305.22 : x
  2. Step 2: Convert to fraction form
    209,798.55/289,525.32 = 114,305.22/x
  3. Step 3: Cross multiply
    209,798.55x = 289,525.32 × 114,305.22
  4. Step 4: Simplify right side
    209,798.55x = 33,094,255,398.17
  5. Step 5: Solve for x
    x = 33,094,255,398.17/209,798.55
  6. Step 6: Final answer
    x = 157,743.01

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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.