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Finding the Fourth Proportional to 292,037.28, 438,103.31 and 114,448.02

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Solution

The fourth proportional to 292,037.28, 438,103.31 and 114,448.02 is: 171,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,037.28 : 438,103.31 = 114,448.02 : x
  2. Step 2: Convert to fraction form
    292,037.28/438,103.31 = 114,448.02/x
  3. Step 3: Cross multiply
    292,037.28x = 438,103.31 × 114,448.02
  4. Step 4: Simplify right side
    292,037.28x = 50,140,055,812.71
  5. Step 5: Solve for x
    x = 50,140,055,812.71/292,037.28
  6. Step 6: Final answer
    x = 171,690.60

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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.