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Finding the Fourth Proportional to 153,899.16, 230,673.76 and 65,097.24

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Solution

The fourth proportional to 153,899.16, 230,673.76 and 65,097.24 is: 97,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,899.16 : 230,673.76 = 65,097.24 : x
  2. Step 2: Convert to fraction form
    153,899.16/230,673.76 = 65,097.24/x
  3. Step 3: Cross multiply
    153,899.16x = 230,673.76 × 65,097.24
  4. Step 4: Simplify right side
    153,899.16x = 15,016,225,116.42
  5. Step 5: Solve for x
    x = 15,016,225,116.42/153,899.16
  6. Step 6: Final answer
    x = 97,571.85

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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.