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Finding the Fourth Proportional to 180,438.19, 249,005.24 and 99,871.31

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Solution

The fourth proportional to 180,438.19, 249,005.24 and 99,871.31 is: 137,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,438.19 : 249,005.24 = 99,871.31 : x
  2. Step 2: Convert to fraction form
    180,438.19/249,005.24 = 99,871.31/x
  3. Step 3: Cross multiply
    180,438.19x = 249,005.24 × 99,871.31
  4. Step 4: Simplify right side
    180,438.19x = 24,868,479,515.66
  5. Step 5: Solve for x
    x = 24,868,479,515.66/180,438.19
  6. Step 6: Final answer
    x = 137,822.71

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Why These Related Problems?

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