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Finding the Fourth Proportional to 180,731.54, 249,405.93 and 100,157.40

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Solution

The fourth proportional to 180,731.54, 249,405.93 and 100,157.40 is: 138,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,731.54 : 249,405.93 = 100,157.40 : x
  2. Step 2: Convert to fraction form
    180,731.54/249,405.93 = 100,157.40/x
  3. Step 3: Cross multiply
    180,731.54x = 249,405.93 × 100,157.40
  4. Step 4: Simplify right side
    180,731.54x = 24,979,849,493.38
  5. Step 5: Solve for x
    x = 24,979,849,493.38/180,731.54
  6. Step 6: Final answer
    x = 138,215.22

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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.