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Finding the Fourth Proportional to 177,959.98, 266,897.79 and 51,566.74

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Solution

The fourth proportional to 177,959.98, 266,897.79 and 51,566.74 is: 77,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,959.98 : 266,897.79 = 51,566.74 : x
  2. Step 2: Convert to fraction form
    177,959.98/266,897.79 = 51,566.74/x
  3. Step 3: Cross multiply
    177,959.98x = 266,897.79 × 51,566.74
  4. Step 4: Simplify right side
    177,959.98x = 13,763,048,943.50
  5. Step 5: Solve for x
    x = 13,763,048,943.50/177,959.98
  6. Step 6: Final answer
    x = 77,337.89

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1.5x scale

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.