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Finding the Fourth Proportional to 153,807.24, 230,727.33 and 65,069.76

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Solution

The fourth proportional to 153,807.24, 230,727.33 and 65,069.76 is: 97,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807.24 : 230,727.33 = 65,069.76 : x
  2. Step 2: Convert to fraction form
    153,807.24/230,727.33 = 65,069.76/x
  3. Step 3: Cross multiply
    153,807.24x = 230,727.33 × 65,069.76
  4. Step 4: Simplify right side
    153,807.24x = 15,013,371,988.54
  5. Step 5: Solve for x
    x = 15,013,371,988.54/153,807.24
  6. Step 6: Final answer
    x = 97,611.61

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1.5x scale

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.