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Finding the Fourth Proportional to 187,465.64, 258,702.60 and 102,582.71

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Solution

The fourth proportional to 187,465.64, 258,702.60 and 102,582.71 is: 141,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,465.64 : 258,702.60 = 102,582.71 : x
  2. Step 2: Convert to fraction form
    187,465.64/258,702.60 = 102,582.71/x
  3. Step 3: Cross multiply
    187,465.64x = 258,702.60 × 102,582.71
  4. Step 4: Simplify right side
    187,465.64x = 26,538,413,792.05
  5. Step 5: Solve for x
    x = 26,538,413,792.05/187,465.64
  6. Step 6: Final answer
    x = 141,564.15

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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.