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Finding the Fourth Proportional to 166,442.63, 249,726.83 and 99,929.16

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Solution

The fourth proportional to 166,442.63, 249,726.83 and 99,929.16 is: 149,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,442.63 : 249,726.83 = 99,929.16 : x
  2. Step 2: Convert to fraction form
    166,442.63/249,726.83 = 99,929.16/x
  3. Step 3: Cross multiply
    166,442.63x = 249,726.83 × 99,929.16
  4. Step 4: Simplify right side
    166,442.63x = 24,954,991,851.72
  5. Step 5: Solve for x
    x = 24,954,991,851.72/166,442.63
  6. Step 6: Final answer
    x = 149,931.50

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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.