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Finding the Fourth Proportional to 188,011.71, 282,258 and 161,527.14

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Solution

The fourth proportional to 188,011.71, 282,258 and 161,527.14 is: 242,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,011.71 : 282,258 = 161,527.14 : x
  2. Step 2: Convert to fraction form
    188,011.71/282,258 = 161,527.14/x
  3. Step 3: Cross multiply
    188,011.71x = 282,258 × 161,527.14
  4. Step 4: Simplify right side
    188,011.71x = 45,592,327,482.12
  5. Step 5: Solve for x
    x = 45,592,327,482.12/188,011.71
  6. Step 6: Final answer
    x = 242,497.28

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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.