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Finding the Fourth Proportional to 153,471.40, 230,238.48 and 64,724.98

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Solution

The fourth proportional to 153,471.40, 230,238.48 and 64,724.98 is: 97,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471.40 : 230,238.48 = 64,724.98 : x
  2. Step 2: Convert to fraction form
    153,471.40/230,238.48 = 64,724.98/x
  3. Step 3: Cross multiply
    153,471.40x = 230,238.48 × 64,724.98
  4. Step 4: Simplify right side
    153,471.40x = 14,902,181,013.23
  5. Step 5: Solve for x
    x = 14,902,181,013.23/153,471.40
  6. Step 6: Final answer
    x = 97,100.70

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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.