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Finding the Fourth Proportional to 177,685.67, 245,206.67 and 97,114.16

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Solution

The fourth proportional to 177,685.67, 245,206.67 and 97,114.16 is: 134,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,685.67 : 245,206.67 = 97,114.16 : x
  2. Step 2: Convert to fraction form
    177,685.67/245,206.67 = 97,114.16/x
  3. Step 3: Cross multiply
    177,685.67x = 245,206.67 × 97,114.16
  4. Step 4: Simplify right side
    177,685.67x = 23,813,038,071.84
  5. Step 5: Solve for x
    x = 23,813,038,071.84/177,685.67
  6. Step 6: Final answer
    x = 134,017.78

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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.