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Finding the Fourth Proportional to 127,403.68, 175,823.04 and 70,816

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Solution

The fourth proportional to 127,403.68, 175,823.04 and 70,816 is: 97,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,403.68 : 175,823.04 = 70,816 : x
  2. Step 2: Convert to fraction form
    127,403.68/175,823.04 = 70,816/x
  3. Step 3: Cross multiply
    127,403.68x = 175,823.04 × 70,816
  4. Step 4: Simplify right side
    127,403.68x = 12,451,084,400.64
  5. Step 5: Solve for x
    x = 12,451,084,400.64/127,403.68
  6. Step 6: Final answer
    x = 97,729.39

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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.