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Finding the Fourth Proportional to 145,094.80, 217,678.92 and 70,250.80

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Solution

The fourth proportional to 145,094.80, 217,678.92 and 70,250.80 is: 105,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,094.80 : 217,678.92 = 70,250.80 : x
  2. Step 2: Convert to fraction form
    145,094.80/217,678.92 = 70,250.80/x
  3. Step 3: Cross multiply
    145,094.80x = 217,678.92 × 70,250.80
  4. Step 4: Simplify right side
    145,094.80x = 15,292,118,273.14
  5. Step 5: Solve for x
    x = 15,292,118,273.14/145,094.80
  6. Step 6: Final answer
    x = 105,393.98

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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.