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Finding the Fourth Proportional to 187,307.84, 258,484.92 and 102,432.80

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Solution

The fourth proportional to 187,307.84, 258,484.92 and 102,432.80 is: 141,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,307.84 : 258,484.92 = 102,432.80 : x
  2. Step 2: Convert to fraction form
    187,307.84/258,484.92 = 102,432.80/x
  3. Step 3: Cross multiply
    187,307.84x = 258,484.92 × 102,432.80
  4. Step 4: Simplify right side
    187,307.84x = 26,477,334,113.38
  5. Step 5: Solve for x
    x = 26,477,334,113.38/187,307.84
  6. Step 6: Final answer
    x = 141,357.32

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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.