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Finding the Fourth Proportional to 177,547.60, 266,321.40 and 59,222.80

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Solution

The fourth proportional to 177,547.60, 266,321.40 and 59,222.80 is: 88,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,547.60 : 266,321.40 = 59,222.80 : x
  2. Step 2: Convert to fraction form
    177,547.60/266,321.40 = 59,222.80/x
  3. Step 3: Cross multiply
    177,547.60x = 266,321.40 × 59,222.80
  4. Step 4: Simplify right side
    177,547.60x = 15,772,299,007.92
  5. Step 5: Solve for x
    x = 15,772,299,007.92/177,547.60
  6. Step 6: Final answer
    x = 88,834.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.