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Finding the Fourth Proportional to 166,214, 249,320.96 and 77,529.52

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Solution

The fourth proportional to 166,214, 249,320.96 and 77,529.52 is: 116,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,214 : 249,320.96 = 77,529.52 : x
  2. Step 2: Convert to fraction form
    166,214/249,320.96 = 77,529.52/x
  3. Step 3: Cross multiply
    166,214x = 249,320.96 × 77,529.52
  4. Step 4: Simplify right side
    166,214x = 19,329,734,354.74
  5. Step 5: Solve for x
    x = 19,329,734,354.74/166,214
  6. Step 6: Final answer
    x = 116,294.26

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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.