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Finding the Fourth Proportional to 180,823.32, 249,535.76 and 100,248.77

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Solution

The fourth proportional to 180,823.32, 249,535.76 and 100,248.77 is: 138,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,823.32 : 249,535.76 = 100,248.77 : x
  2. Step 2: Convert to fraction form
    180,823.32/249,535.76 = 100,248.77/x
  3. Step 3: Cross multiply
    180,823.32x = 249,535.76 × 100,248.77
  4. Step 4: Simplify right side
    180,823.32x = 25,015,653,011.02
  5. Step 5: Solve for x
    x = 25,015,653,011.02/180,823.32
  6. Step 6: Final answer
    x = 138,343.07

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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.