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Finding the Fourth Proportional to 209,298.24, 314,031.24 and 76,187.70

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Solution

The fourth proportional to 209,298.24, 314,031.24 and 76,187.70 is: 114,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,298.24 : 314,031.24 = 76,187.70 : x
  2. Step 2: Convert to fraction form
    209,298.24/314,031.24 = 76,187.70/x
  3. Step 3: Cross multiply
    209,298.24x = 314,031.24 × 76,187.70
  4. Step 4: Simplify right side
    209,298.24x = 23,925,317,903.75
  5. Step 5: Solve for x
    x = 23,925,317,903.75/209,298.24
  6. Step 6: Final answer
    x = 114,312.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.