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Finding the Fourth Proportional to 148,790.71, 205,411.14 and 114,724.54

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Solution

The fourth proportional to 148,790.71, 205,411.14 and 114,724.54 is: 158,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,790.71 : 205,411.14 = 114,724.54 : x
  2. Step 2: Convert to fraction form
    148,790.71/205,411.14 = 114,724.54/x
  3. Step 3: Cross multiply
    148,790.71x = 205,411.14 × 114,724.54
  4. Step 4: Simplify right side
    148,790.71x = 23,565,698,547.38
  5. Step 5: Solve for x
    x = 23,565,698,547.38/148,790.71
  6. Step 6: Final answer
    x = 158,381.52

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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.