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Finding the Fourth Proportional to 158,492.64, 218,742.27 and 98,082.74

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Solution

The fourth proportional to 158,492.64, 218,742.27 and 98,082.74 is: 135,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,492.64 : 218,742.27 = 98,082.74 : x
  2. Step 2: Convert to fraction form
    158,492.64/218,742.27 = 98,082.74/x
  3. Step 3: Cross multiply
    158,492.64x = 218,742.27 × 98,082.74
  4. Step 4: Simplify right side
    158,492.64x = 21,454,840,101.71
  5. Step 5: Solve for x
    x = 21,454,840,101.71/158,492.64
  6. Step 6: Final answer
    x = 135,368.05

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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.