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Finding the Fourth Proportional to 252,287.16, 378,002.52 and 152,237.16

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Solution

The fourth proportional to 252,287.16, 378,002.52 and 152,237.16 is: 228,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,287.16 : 378,002.52 = 152,237.16 : x
  2. Step 2: Convert to fraction form
    252,287.16/378,002.52 = 152,237.16/x
  3. Step 3: Cross multiply
    252,287.16x = 378,002.52 × 152,237.16
  4. Step 4: Simplify right side
    252,287.16x = 57,546,030,117.64
  5. Step 5: Solve for x
    x = 57,546,030,117.64/252,287.16
  6. Step 6: Final answer
    x = 228,097.34

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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.