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Finding the Fourth Proportional to 153,565.88, 230,357.01 and 48,393.05

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Solution

The fourth proportional to 153,565.88, 230,357.01 and 48,393.05 is: 72,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,565.88 : 230,357.01 = 48,393.05 : x
  2. Step 2: Convert to fraction form
    153,565.88/230,357.01 = 48,393.05/x
  3. Step 3: Cross multiply
    153,565.88x = 230,357.01 × 48,393.05
  4. Step 4: Simplify right side
    153,565.88x = 11,147,677,332.47
  5. Step 5: Solve for x
    x = 11,147,677,332.47/153,565.88
  6. Step 6: Final answer
    x = 72,592.15

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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.