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Finding the Fourth Proportional to 149,165.60, 223,714.22 and 42,547.52

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Solution

The fourth proportional to 149,165.60, 223,714.22 and 42,547.52 is: 63,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,165.60 : 223,714.22 = 42,547.52 : x
  2. Step 2: Convert to fraction form
    149,165.60/223,714.22 = 42,547.52/x
  3. Step 3: Cross multiply
    149,165.60x = 223,714.22 × 42,547.52
  4. Step 4: Simplify right side
    149,165.60x = 9,518,485,596.28
  5. Step 5: Solve for x
    x = 9,518,485,596.28/149,165.60
  6. Step 6: Final answer
    x = 63,811.54

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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.