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Finding the Fourth Proportional to 166,523.00, 249,866.51 and 77,763.60

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Solution

The fourth proportional to 166,523.00, 249,866.51 and 77,763.60 is: 116,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,523.00 : 249,866.51 = 77,763.60 : x
  2. Step 2: Convert to fraction form
    166,523.00/249,866.51 = 77,763.60/x
  3. Step 3: Cross multiply
    166,523.00x = 249,866.51 × 77,763.60
  4. Step 4: Simplify right side
    166,523.00x = 19,430,519,337.04
  5. Step 5: Solve for x
    x = 19,430,519,337.04/166,523.00
  6. Step 6: Final answer
    x = 116,683.70

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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.