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Finding the Fourth Proportional to 175,225.86, 241,830.72 and 107,288.64

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Solution

The fourth proportional to 175,225.86, 241,830.72 and 107,288.64 is: 148,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,225.86 : 241,830.72 = 107,288.64 : x
  2. Step 2: Convert to fraction form
    175,225.86/241,830.72 = 107,288.64/x
  3. Step 3: Cross multiply
    175,225.86x = 241,830.72 × 107,288.64
  4. Step 4: Simplify right side
    175,225.86x = 25,945,689,059.02
  5. Step 5: Solve for x
    x = 25,945,689,059.02/175,225.86
  6. Step 6: Final answer
    x = 148,069.98

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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.