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Finding the Fourth Proportional to 169,031.94, 233,263.68 and 97,411.32

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Solution

The fourth proportional to 169,031.94, 233,263.68 and 97,411.32 is: 134,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,031.94 : 233,263.68 = 97,411.32 : x
  2. Step 2: Convert to fraction form
    169,031.94/233,263.68 = 97,411.32/x
  3. Step 3: Cross multiply
    169,031.94x = 233,263.68 × 97,411.32
  4. Step 4: Simplify right side
    169,031.94x = 22,722,522,976.86
  5. Step 5: Solve for x
    x = 22,722,522,976.86/169,031.94
  6. Step 6: Final answer
    x = 134,427.39

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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.