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Finding the Fourth Proportional to 177,807.70, 266,784.45 and 65,541.70

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Solution

The fourth proportional to 177,807.70, 266,784.45 and 65,541.70 is: 98,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,807.70 : 266,784.45 = 65,541.70 : x
  2. Step 2: Convert to fraction form
    177,807.70/266,784.45 = 65,541.70/x
  3. Step 3: Cross multiply
    177,807.70x = 266,784.45 × 65,541.70
  4. Step 4: Simplify right side
    177,807.70x = 17,485,506,386.57
  5. Step 5: Solve for x
    x = 17,485,506,386.57/177,807.70
  6. Step 6: Final answer
    x = 98,339.42

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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.