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Finding the Fourth Proportional to 166,404.60, 249,461.10 and 99,871.20

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Solution

The fourth proportional to 166,404.60, 249,461.10 and 99,871.20 is: 149,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,404.60 : 249,461.10 = 99,871.20 : x
  2. Step 2: Convert to fraction form
    166,404.60/249,461.10 = 99,871.20/x
  3. Step 3: Cross multiply
    166,404.60x = 249,461.10 × 99,871.20
  4. Step 4: Simplify right side
    166,404.60x = 24,913,979,410.32
  5. Step 5: Solve for x
    x = 24,913,979,410.32/166,404.60
  6. Step 6: Final answer
    x = 149,719.30

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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.