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Finding the Fourth Proportional to 238,098.96, 328,591.35 and 157,386.51

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Solution

The fourth proportional to 238,098.96, 328,591.35 and 157,386.51 is: 217,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,098.96 : 328,591.35 = 157,386.51 : x
  2. Step 2: Convert to fraction form
    238,098.96/328,591.35 = 157,386.51/x
  3. Step 3: Cross multiply
    238,098.96x = 328,591.35 × 157,386.51
  4. Step 4: Simplify right side
    238,098.96x = 51,715,845,792.69
  5. Step 5: Solve for x
    x = 51,715,845,792.69/238,098.96
  6. Step 6: Final answer
    x = 217,203.16

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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.