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Finding the Fourth Proportional to 153,925.30, 230,912.25 and 65,179.36

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Solution

The fourth proportional to 153,925.30, 230,912.25 and 65,179.36 is: 97,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,925.30 : 230,912.25 = 65,179.36 : x
  2. Step 2: Convert to fraction form
    153,925.30/230,912.25 = 65,179.36/x
  3. Step 3: Cross multiply
    153,925.30x = 230,912.25 × 65,179.36
  4. Step 4: Simplify right side
    153,925.30x = 15,050,712,671.16
  5. Step 5: Solve for x
    x = 15,050,712,671.16/153,925.30
  6. Step 6: Final answer
    x = 97,779.33

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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.