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Finding the Fourth Proportional to 176,684.40, 264,637.80 and 156,985.20

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Solution

The fourth proportional to 176,684.40, 264,637.80 and 156,985.20 is: 235,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,684.40 : 264,637.80 = 156,985.20 : x
  2. Step 2: Convert to fraction form
    176,684.40/264,637.80 = 156,985.20/x
  3. Step 3: Cross multiply
    176,684.40x = 264,637.80 × 156,985.20
  4. Step 4: Simplify right side
    176,684.40x = 41,544,217,960.56
  5. Step 5: Solve for x
    x = 41,544,217,960.56/176,684.40
  6. Step 6: Final answer
    x = 235,132.35

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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.