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Finding the Fourth Proportional to 166,412.53, 249,569.52 and 48,084.94

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Solution

The fourth proportional to 166,412.53, 249,569.52 and 48,084.94 is: 72,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,412.53 : 249,569.52 = 48,084.94 : x
  2. Step 2: Convert to fraction form
    166,412.53/249,569.52 = 48,084.94/x
  3. Step 3: Cross multiply
    166,412.53x = 249,569.52 × 48,084.94
  4. Step 4: Simplify right side
    166,412.53x = 12,000,535,395.03
  5. Step 5: Solve for x
    x = 12,000,535,395.03/166,412.53
  6. Step 6: Final answer
    x = 72,113.17

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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.