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Finding the Fourth Proportional to 187,304.40, 258,476.14 and 102,421.40

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Solution

The fourth proportional to 187,304.40, 258,476.14 and 102,421.40 is: 141,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,304.40 : 258,476.14 = 102,421.40 : x
  2. Step 2: Convert to fraction form
    187,304.40/258,476.14 = 102,421.40/x
  3. Step 3: Cross multiply
    187,304.40x = 258,476.14 × 102,421.40
  4. Step 4: Simplify right side
    187,304.40x = 26,473,488,125.40
  5. Step 5: Solve for x
    x = 26,473,488,125.40/187,304.40
  6. Step 6: Final answer
    x = 141,339.38

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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.