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Finding the Fourth Proportional to 157,920.84, 217,935 and 86,300.28

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Solution

The fourth proportional to 157,920.84, 217,935 and 86,300.28 is: 119,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920.84 : 217,935 = 86,300.28 : x
  2. Step 2: Convert to fraction form
    157,920.84/217,935 = 86,300.28/x
  3. Step 3: Cross multiply
    157,920.84x = 217,935 × 86,300.28
  4. Step 4: Simplify right side
    157,920.84x = 18,807,851,521.80
  5. Step 5: Solve for x
    x = 18,807,851,521.80/157,920.84
  6. Step 6: Final answer
    x = 119,096.70

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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.