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Finding the Fourth Proportional to 291,703.02, 402,549.60 and 157,567.02

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Solution

The fourth proportional to 291,703.02, 402,549.60 and 157,567.02 is: 217,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,703.02 : 402,549.60 = 157,567.02 : x
  2. Step 2: Convert to fraction form
    291,703.02/402,549.60 = 157,567.02/x
  3. Step 3: Cross multiply
    291,703.02x = 402,549.60 × 157,567.02
  4. Step 4: Simplify right side
    291,703.02x = 63,428,540,874.19
  5. Step 5: Solve for x
    x = 63,428,540,874.19/291,703.02
  6. Step 6: Final answer
    x = 217,442.18

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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.