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Finding the Fourth Proportional to 180,710.95, 249,382.58 and 100,139.82

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Solution

The fourth proportional to 180,710.95, 249,382.58 and 100,139.82 is: 138,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,710.95 : 249,382.58 = 100,139.82 : x
  2. Step 2: Convert to fraction form
    180,710.95/249,382.58 = 100,139.82/x
  3. Step 3: Cross multiply
    180,710.95x = 249,382.58 × 100,139.82
  4. Step 4: Simplify right side
    180,710.95x = 24,973,127,014.75
  5. Step 5: Solve for x
    x = 24,973,127,014.75/180,710.95
  6. Step 6: Final answer
    x = 138,193.77

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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.