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Finding the Fourth Proportional to 102,001.65, 153,002.48 and 102,001.65

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Solution

The fourth proportional to 102,001.65, 153,002.48 and 102,001.65 is: 153,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.65 : 153,002.48 = 102,001.65 : x
  2. Step 2: Convert to fraction form
    102,001.65/153,002.48 = 102,001.65/x
  3. Step 3: Cross multiply
    102,001.65x = 153,002.48 × 102,001.65
  4. Step 4: Simplify right side
    102,001.65x = 15,606,504,904.08
  5. Step 5: Solve for x
    x = 15,606,504,904.08/102,001.65
  6. Step 6: Final answer
    x = 153,002.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.