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Finding the Fourth Proportional to 166,204.71, 249,307.07 and 77,520.24

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Solution

The fourth proportional to 166,204.71, 249,307.07 and 77,520.24 is: 116,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,204.71 : 249,307.07 = 77,520.24 : x
  2. Step 2: Convert to fraction form
    166,204.71/249,307.07 = 77,520.24/x
  3. Step 3: Cross multiply
    166,204.71x = 249,307.07 × 77,520.24
  4. Step 4: Simplify right side
    166,204.71x = 19,326,343,512.50
  5. Step 5: Solve for x
    x = 19,326,343,512.50/166,204.71
  6. Step 6: Final answer
    x = 116,280.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.