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Finding the Fourth Proportional to 232,319.98, 320,699.64 and 156,970.54

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Solution

The fourth proportional to 232,319.98, 320,699.64 and 156,970.54 is: 216,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,319.98 : 320,699.64 = 156,970.54 : x
  2. Step 2: Convert to fraction form
    232,319.98/320,699.64 = 156,970.54/x
  3. Step 3: Cross multiply
    232,319.98x = 320,699.64 × 156,970.54
  4. Step 4: Simplify right side
    232,319.98x = 50,340,395,668.61
  5. Step 5: Solve for x
    x = 50,340,395,668.61/232,319.98
  6. Step 6: Final answer
    x = 216,685.61

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1.5x scale

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.