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Finding the Fourth Proportional to 158,124.85, 218,232.84 and 97,724.77

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Solution

The fourth proportional to 158,124.85, 218,232.84 and 97,724.77 is: 134,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,124.85 : 218,232.84 = 97,724.77 : x
  2. Step 2: Convert to fraction form
    158,124.85/218,232.84 = 97,724.77/x
  3. Step 3: Cross multiply
    158,124.85x = 218,232.84 × 97,724.77
  4. Step 4: Simplify right side
    158,124.85x = 21,326,754,095.45
  5. Step 5: Solve for x
    x = 21,326,754,095.45/158,124.85
  6. Step 6: Final answer
    x = 134,872.88

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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.