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Finding the Fourth Proportional to 224,837.60, 310,340.52 and 148,412.48

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Solution

The fourth proportional to 224,837.60, 310,340.52 and 148,412.48 is: 204,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,837.60 : 310,340.52 = 148,412.48 : x
  2. Step 2: Convert to fraction form
    224,837.60/310,340.52 = 148,412.48/x
  3. Step 3: Cross multiply
    224,837.60x = 310,340.52 × 148,412.48
  4. Step 4: Simplify right side
    224,837.60x = 46,058,406,217.69
  5. Step 5: Solve for x
    x = 46,058,406,217.69/224,837.60
  6. Step 6: Final answer
    x = 204,851.89

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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.