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Finding the Fourth Proportional to 187,853.80, 282,030.90 and 109,024.60

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Solution

The fourth proportional to 187,853.80, 282,030.90 and 109,024.60 is: 163,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,853.80 : 282,030.90 = 109,024.60 : x
  2. Step 2: Convert to fraction form
    187,853.80/282,030.90 = 109,024.60/x
  3. Step 3: Cross multiply
    187,853.80x = 282,030.90 × 109,024.60
  4. Step 4: Simplify right side
    187,853.80x = 30,748,306,060.14
  5. Step 5: Solve for x
    x = 30,748,306,060.14/187,853.80
  6. Step 6: Final answer
    x = 163,682.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.