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Finding the Fourth Proportional to 213,657.46, 320,338.57 and 93,656.77

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Solution

The fourth proportional to 213,657.46, 320,338.57 and 93,656.77 is: 140,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.46 : 320,338.57 = 93,656.77 : x
  2. Step 2: Convert to fraction form
    213,657.46/320,338.57 = 93,656.77/x
  3. Step 3: Cross multiply
    213,657.46x = 320,338.57 × 93,656.77
  4. Step 4: Simplify right side
    213,657.46x = 30,001,875,938.90
  5. Step 5: Solve for x
    x = 30,001,875,938.90/213,657.46
  6. Step 6: Final answer
    x = 140,420.45

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1.5x scale

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.