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Finding the Fourth Proportional to 187,806.40, 282,001.20 and 109,074.40

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Solution

The fourth proportional to 187,806.40, 282,001.20 and 109,074.40 is: 163,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806.40 : 282,001.20 = 109,074.40 : x
  2. Step 2: Convert to fraction form
    187,806.40/282,001.20 = 109,074.40/x
  3. Step 3: Cross multiply
    187,806.40x = 282,001.20 × 109,074.40
  4. Step 4: Simplify right side
    187,806.40x = 30,759,111,689.28
  5. Step 5: Solve for x
    x = 30,759,111,689.28/187,806.40
  6. Step 6: Final answer
    x = 163,780.96

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1.5x scale

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.