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Finding the Fourth Proportional to 130,509.84, 195,779.08 and 41,742.48

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Solution

The fourth proportional to 130,509.84, 195,779.08 and 41,742.48 is: 62,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509.84 : 195,779.08 = 41,742.48 : x
  2. Step 2: Convert to fraction form
    130,509.84/195,779.08 = 41,742.48/x
  3. Step 3: Cross multiply
    130,509.84x = 195,779.08 × 41,742.48
  4. Step 4: Simplify right side
    130,509.84x = 8,172,304,331.32
  5. Step 5: Solve for x
    x = 8,172,304,331.32/130,509.84
  6. Step 6: Final answer
    x = 62,618.30

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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.