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Finding the Fourth Proportional to 169,068.32, 233,257.64 and 97,446.80

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Solution

The fourth proportional to 169,068.32, 233,257.64 and 97,446.80 is: 134,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,068.32 : 233,257.64 = 97,446.80 : x
  2. Step 2: Convert to fraction form
    169,068.32/233,257.64 = 97,446.80/x
  3. Step 3: Cross multiply
    169,068.32x = 233,257.64 × 97,446.80
  4. Step 4: Simplify right side
    169,068.32x = 22,730,211,237.60
  5. Step 5: Solve for x
    x = 22,730,211,237.60/169,068.32
  6. Step 6: Final answer
    x = 134,443.94

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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.