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Finding the Fourth Proportional to 292,196.74, 438,564.54 and 148,203.64

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Solution

The fourth proportional to 292,196.74, 438,564.54 and 148,203.64 is: 222,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,196.74 : 438,564.54 = 148,203.64 : x
  2. Step 2: Convert to fraction form
    292,196.74/438,564.54 = 148,203.64/x
  3. Step 3: Cross multiply
    292,196.74x = 438,564.54 × 148,203.64
  4. Step 4: Simplify right side
    292,196.74x = 64,996,861,202.93
  5. Step 5: Solve for x
    x = 64,996,861,202.93/292,196.74
  6. Step 6: Final answer
    x = 222,442.12

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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.