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Finding the Fourth Proportional to 238,875.77, 329,784.52 and 158,411.92

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Solution

The fourth proportional to 238,875.77, 329,784.52 and 158,411.92 is: 218,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,875.77 : 329,784.52 = 158,411.92 : x
  2. Step 2: Convert to fraction form
    238,875.77/329,784.52 = 158,411.92/x
  3. Step 3: Cross multiply
    238,875.77x = 329,784.52 × 158,411.92
  4. Step 4: Simplify right side
    238,875.77x = 52,241,798,999.48
  5. Step 5: Solve for x
    x = 52,241,798,999.48/238,875.77
  6. Step 6: Final answer
    x = 218,698.61

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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.