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Finding the Fourth Proportional to 252,681.84, 348,691.92 and 152,060.40

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Solution

The fourth proportional to 252,681.84, 348,691.92 and 152,060.40 is: 209,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,681.84 : 348,691.92 = 152,060.40 : x
  2. Step 2: Convert to fraction form
    252,681.84/348,691.92 = 152,060.40/x
  3. Step 3: Cross multiply
    252,681.84x = 348,691.92 × 152,060.40
  4. Step 4: Simplify right side
    252,681.84x = 53,022,232,831.97
  5. Step 5: Solve for x
    x = 53,022,232,831.97/252,681.84
  6. Step 6: Final answer
    x = 209,837.92

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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.