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Finding the Fourth Proportional to 116,298.40, 160,500.32 and 65,314.14

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Solution

The fourth proportional to 116,298.40, 160,500.32 and 65,314.14 is: 90,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,298.40 : 160,500.32 = 65,314.14 : x
  2. Step 2: Convert to fraction form
    116,298.40/160,500.32 = 65,314.14/x
  3. Step 3: Cross multiply
    116,298.40x = 160,500.32 × 65,314.14
  4. Step 4: Simplify right side
    116,298.40x = 10,482,939,708.81
  5. Step 5: Solve for x
    x = 10,482,939,708.81/116,298.40
  6. Step 6: Final answer
    x = 90,138.30

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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.