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Finding the Fourth Proportional to 127,283.75, 175,655.22 and 70,698.77

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Solution

The fourth proportional to 127,283.75, 175,655.22 and 70,698.77 is: 97,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,283.75 : 175,655.22 = 70,698.77 : x
  2. Step 2: Convert to fraction form
    127,283.75/175,655.22 = 70,698.77/x
  3. Step 3: Cross multiply
    127,283.75x = 175,655.22 × 70,698.77
  4. Step 4: Simplify right side
    127,283.75x = 12,418,607,998.08
  5. Step 5: Solve for x
    x = 12,418,607,998.08/127,283.75
  6. Step 6: Final answer
    x = 97,566.33

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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.