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Finding the Fourth Proportional to 128,542.80, 177,334.05 and 77,526.50

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Solution

The fourth proportional to 128,542.80, 177,334.05 and 77,526.50 is: 106,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,542.80 : 177,334.05 = 77,526.50 : x
  2. Step 2: Convert to fraction form
    128,542.80/177,334.05 = 77,526.50/x
  3. Step 3: Cross multiply
    128,542.80x = 177,334.05 × 77,526.50
  4. Step 4: Simplify right side
    128,542.80x = 13,748,087,340.65
  5. Step 5: Solve for x
    x = 13,748,087,340.65/128,542.80
  6. Step 6: Final answer
    x = 106,953.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.