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Finding the Fourth Proportional to 180,829.01, 249,543.59 and 100,254.47

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Solution

The fourth proportional to 180,829.01, 249,543.59 and 100,254.47 is: 138,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,829.01 : 249,543.59 = 100,254.47 : x
  2. Step 2: Convert to fraction form
    180,829.01/249,543.59 = 100,254.47/x
  3. Step 3: Cross multiply
    180,829.01x = 249,543.59 × 100,254.47
  4. Step 4: Simplify right side
    180,829.01x = 25,017,860,357.35
  5. Step 5: Solve for x
    x = 25,017,860,357.35/180,829.01
  6. Step 6: Final answer
    x = 138,350.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.