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Finding the Fourth Proportional to 177,642.81, 245,147.72 and 97,070.33

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Solution

The fourth proportional to 177,642.81, 245,147.72 and 97,070.33 is: 133,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642.81 : 245,147.72 = 97,070.33 : x
  2. Step 2: Convert to fraction form
    177,642.81/245,147.72 = 97,070.33/x
  3. Step 3: Cross multiply
    177,642.81x = 245,147.72 × 97,070.33
  4. Step 4: Simplify right side
    177,642.81x = 23,796,570,206.67
  5. Step 5: Solve for x
    x = 23,796,570,206.67/177,642.81
  6. Step 6: Final answer
    x = 133,957.41

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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.