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Finding the Fourth Proportional to 207,429.60, 310,366.80 and 188,767.20

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Solution

The fourth proportional to 207,429.60, 310,366.80 and 188,767.20 is: 282,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,429.60 : 310,366.80 = 188,767.20 : x
  2. Step 2: Convert to fraction form
    207,429.60/310,366.80 = 188,767.20/x
  3. Step 3: Cross multiply
    207,429.60x = 310,366.80 × 188,767.20
  4. Step 4: Simplify right side
    207,429.60x = 58,587,071,808.96
  5. Step 5: Solve for x
    x = 58,587,071,808.96/207,429.60
  6. Step 6: Final answer
    x = 282,443.16

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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.