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Finding the Fourth Proportional to 169,051.52, 233,238.29 and 97,421.81

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Solution

The fourth proportional to 169,051.52, 233,238.29 and 97,421.81 is: 134,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,051.52 : 233,238.29 = 97,421.81 : x
  2. Step 2: Convert to fraction form
    169,051.52/233,238.29 = 97,421.81/x
  3. Step 3: Cross multiply
    169,051.52x = 233,238.29 × 97,421.81
  4. Step 4: Simplify right side
    169,051.52x = 22,722,494,719.80
  5. Step 5: Solve for x
    x = 22,722,494,719.80/169,051.52
  6. Step 6: Final answer
    x = 134,411.65

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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.