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Finding the Fourth Proportional to 109,509.12, 151,122.38 and 61,762.32

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Solution

The fourth proportional to 109,509.12, 151,122.38 and 61,762.32 is: 85,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.12 : 151,122.38 = 61,762.32 : x
  2. Step 2: Convert to fraction form
    109,509.12/151,122.38 = 61,762.32/x
  3. Step 3: Cross multiply
    109,509.12x = 151,122.38 × 61,762.32
  4. Step 4: Simplify right side
    109,509.12x = 9,333,668,483.91
  5. Step 5: Solve for x
    x = 9,333,668,483.91/109,509.12
  6. Step 6: Final answer
    x = 85,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.