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Finding the Fourth Proportional to 116,057.30, 160,144.74 and 70,718.76

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Solution

The fourth proportional to 116,057.30, 160,144.74 and 70,718.76 is: 97,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,057.30 : 160,144.74 = 70,718.76 : x
  2. Step 2: Convert to fraction form
    116,057.30/160,144.74 = 70,718.76/x
  3. Step 3: Cross multiply
    116,057.30x = 160,144.74 × 70,718.76
  4. Step 4: Simplify right side
    116,057.30x = 11,325,237,433.32
  5. Step 5: Solve for x
    x = 11,325,237,433.32/116,057.30
  6. Step 6: Final answer
    x = 97,583.16

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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.