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Finding the Fourth Proportional to 105,967.16, 146,298.90 and 70,187.84

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Solution

The fourth proportional to 105,967.16, 146,298.90 and 70,187.84 is: 96,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967.16 : 146,298.90 = 70,187.84 : x
  2. Step 2: Convert to fraction form
    105,967.16/146,298.90 = 70,187.84/x
  3. Step 3: Cross multiply
    105,967.16x = 146,298.90 × 70,187.84
  4. Step 4: Simplify right side
    105,967.16x = 10,268,403,785.38
  5. Step 5: Solve for x
    x = 10,268,403,785.38/105,967.16
  6. Step 6: Final answer
    x = 96,901.76

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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.