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Finding the Fourth Proportional to 169,090.78, 233,292.45 and 97,461.07

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Solution

The fourth proportional to 169,090.78, 233,292.45 and 97,461.07 is: 134,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,090.78 : 233,292.45 = 97,461.07 : x
  2. Step 2: Convert to fraction form
    169,090.78/233,292.45 = 97,461.07/x
  3. Step 3: Cross multiply
    169,090.78x = 233,292.45 × 97,461.07
  4. Step 4: Simplify right side
    169,090.78x = 22,736,931,799.92
  5. Step 5: Solve for x
    x = 22,736,931,799.92/169,090.78
  6. Step 6: Final answer
    x = 134,465.83

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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.