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Finding the Fourth Proportional to 238,594.83, 357,629.80 and 98,276.91

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Solution

The fourth proportional to 238,594.83, 357,629.80 and 98,276.91 is: 147,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,594.83 : 357,629.80 = 98,276.91 : x
  2. Step 2: Convert to fraction form
    238,594.83/357,629.80 = 98,276.91/x
  3. Step 3: Cross multiply
    238,594.83x = 357,629.80 × 98,276.91
  4. Step 4: Simplify right side
    238,594.83x = 35,146,751,667.92
  5. Step 5: Solve for x
    x = 35,146,751,667.92/238,594.83
  6. Step 6: Final answer
    x = 147,307.26

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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.