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Finding the Fourth Proportional to 232,971.60, 349,164.92 and 99,695.12

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Solution

The fourth proportional to 232,971.60, 349,164.92 and 99,695.12 is: 149,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,971.60 : 349,164.92 = 99,695.12 : x
  2. Step 2: Convert to fraction form
    232,971.60/349,164.92 = 99,695.12/x
  3. Step 3: Cross multiply
    232,971.60x = 349,164.92 × 99,695.12
  4. Step 4: Simplify right side
    232,971.60x = 34,810,038,599.19
  5. Step 5: Solve for x
    x = 34,810,038,599.19/232,971.60
  6. Step 6: Final answer
    x = 149,417.52

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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.