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Finding the Fourth Proportional to 142,296.64, 213,448.80 and 37,113.28

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Solution

The fourth proportional to 142,296.64, 213,448.80 and 37,113.28 is: 55,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,296.64 : 213,448.80 = 37,113.28 : x
  2. Step 2: Convert to fraction form
    142,296.64/213,448.80 = 37,113.28/x
  3. Step 3: Cross multiply
    142,296.64x = 213,448.80 × 37,113.28
  4. Step 4: Simplify right side
    142,296.64x = 7,921,785,080.06
  5. Step 5: Solve for x
    x = 7,921,785,080.06/142,296.64
  6. Step 6: Final answer
    x = 55,670.92

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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.