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Finding the Fourth Proportional to 178,838.64, 268,411.73 and 103,854.58

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Solution

The fourth proportional to 178,838.64, 268,411.73 and 103,854.58 is: 155,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,838.64 : 268,411.73 = 103,854.58 : x
  2. Step 2: Convert to fraction form
    178,838.64/268,411.73 = 103,854.58/x
  3. Step 3: Cross multiply
    178,838.64x = 268,411.73 × 103,854.58
  4. Step 4: Simplify right side
    178,838.64x = 27,875,786,295.92
  5. Step 5: Solve for x
    x = 27,875,786,295.92/178,838.64
  6. Step 6: Final answer
    x = 155,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.