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Finding the Fourth Proportional to 157,966.84, 218,000.10 and 86,351.72

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Solution

The fourth proportional to 157,966.84, 218,000.10 and 86,351.72 is: 119,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,966.84 : 218,000.10 = 86,351.72 : x
  2. Step 2: Convert to fraction form
    157,966.84/218,000.10 = 86,351.72/x
  3. Step 3: Cross multiply
    157,966.84x = 218,000.10 × 86,351.72
  4. Step 4: Simplify right side
    157,966.84x = 18,824,683,595.17
  5. Step 5: Solve for x
    x = 18,824,683,595.17/157,966.84
  6. Step 6: Final answer
    x = 119,168.58

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1.5x scale

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.