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Finding the Fourth Proportional to 174,032.40, 260,829.90 and 85,094.40

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Solution

The fourth proportional to 174,032.40, 260,829.90 and 85,094.40 is: 127,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,032.40 : 260,829.90 = 85,094.40 : x
  2. Step 2: Convert to fraction form
    174,032.40/260,829.90 = 85,094.40/x
  3. Step 3: Cross multiply
    174,032.40x = 260,829.90 × 85,094.40
  4. Step 4: Simplify right side
    174,032.40x = 22,195,163,842.56
  5. Step 5: Solve for x
    x = 22,195,163,842.56/174,032.40
  6. Step 6: Final answer
    x = 127,534.67

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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.