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Finding the Fourth Proportional to 291,968.13, 402,914.92 and 157,832.13

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Solution

The fourth proportional to 291,968.13, 402,914.92 and 157,832.13 is: 217,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,968.13 : 402,914.92 = 157,832.13 : x
  2. Step 2: Convert to fraction form
    291,968.13/402,914.92 = 157,832.13/x
  3. Step 3: Cross multiply
    291,968.13x = 402,914.92 × 157,832.13
  4. Step 4: Simplify right side
    291,968.13x = 63,592,920,032.38
  5. Step 5: Solve for x
    x = 63,592,920,032.38/291,968.13
  6. Step 6: Final answer
    x = 217,807.75

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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.