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Finding the Fourth Proportional to 252,109.60, 377,386.80 and 146,615.20

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Solution

The fourth proportional to 252,109.60, 377,386.80 and 146,615.20 is: 219,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,109.60 : 377,386.80 = 146,615.20 : x
  2. Step 2: Convert to fraction form
    252,109.60/377,386.80 = 146,615.20/x
  3. Step 3: Cross multiply
    252,109.60x = 377,386.80 × 146,615.20
  4. Step 4: Simplify right side
    252,109.60x = 55,330,641,159.36
  5. Step 5: Solve for x
    x = 55,330,641,159.36/252,109.60
  6. Step 6: Final answer
    x = 219,470.58

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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.