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Finding the Fourth Proportional to 152,051.60, 227,731.80 and 96,064.40

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Solution

The fourth proportional to 152,051.60, 227,731.80 and 96,064.40 is: 143,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,051.60 : 227,731.80 = 96,064.40 : x
  2. Step 2: Convert to fraction form
    152,051.60/227,731.80 = 96,064.40/x
  3. Step 3: Cross multiply
    152,051.60x = 227,731.80 × 96,064.40
  4. Step 4: Simplify right side
    152,051.60x = 21,876,918,727.92
  5. Step 5: Solve for x
    x = 21,876,918,727.92/152,051.60
  6. Step 6: Final answer
    x = 143,878.25

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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.