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Finding the Fourth Proportional to 169,830.90, 254,681.55 and 51,462.90

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Solution

The fourth proportional to 169,830.90, 254,681.55 and 51,462.90 is: 77,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830.90 : 254,681.55 = 51,462.90 : x
  2. Step 2: Convert to fraction form
    169,830.90/254,681.55 = 51,462.90/x
  3. Step 3: Cross multiply
    169,830.90x = 254,681.55 × 51,462.90
  4. Step 4: Simplify right side
    169,830.90x = 13,106,651,139.50
  5. Step 5: Solve for x
    x = 13,106,651,139.50/169,830.90
  6. Step 6: Final answer
    x = 77,174.71

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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.