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Finding the Fourth Proportional to 198,065.93, 297,127.13 and 64,956.60

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Solution

The fourth proportional to 198,065.93, 297,127.13 and 64,956.60 is: 97,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,065.93 : 297,127.13 = 64,956.60 : x
  2. Step 2: Convert to fraction form
    198,065.93/297,127.13 = 64,956.60/x
  3. Step 3: Cross multiply
    198,065.93x = 297,127.13 × 64,956.60
  4. Step 4: Simplify right side
    198,065.93x = 19,300,367,807.78
  5. Step 5: Solve for x
    x = 19,300,367,807.78/198,065.93
  6. Step 6: Final answer
    x = 97,444.16

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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.