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Finding the Fourth Proportional to 187,353, 258,547.14 and 102,470.06

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Solution

The fourth proportional to 187,353, 258,547.14 and 102,470.06 is: 141,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,353 : 258,547.14 = 102,470.06 : x
  2. Step 2: Convert to fraction form
    187,353/258,547.14 = 102,470.06/x
  3. Step 3: Cross multiply
    187,353x = 258,547.14 × 102,470.06
  4. Step 4: Simplify right side
    187,353x = 26,493,341,595.00
  5. Step 5: Solve for x
    x = 26,493,341,595.00/187,353
  6. Step 6: Final answer
    x = 141,408.69

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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.