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Finding the Fourth Proportional to 180,980.25, 249,752.96 and 105,543.33

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Solution

The fourth proportional to 180,980.25, 249,752.96 and 105,543.33 is: 145,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,980.25 : 249,752.96 = 105,543.33 : x
  2. Step 2: Convert to fraction form
    180,980.25/249,752.96 = 105,543.33/x
  3. Step 3: Cross multiply
    180,980.25x = 249,752.96 × 105,543.33
  4. Step 4: Simplify right side
    180,980.25x = 26,359,758,548.04
  5. Step 5: Solve for x
    x = 26,359,758,548.04/180,980.25
  6. Step 6: Final answer
    x = 145,649.92

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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.