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Finding the Fourth Proportional to 83,295.45, 114,867 and 70,547.67

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Solution

The fourth proportional to 83,295.45, 114,867 and 70,547.67 is: 97,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.45 : 114,867 = 70,547.67 : x
  2. Step 2: Convert to fraction form
    83,295.45/114,867 = 70,547.67/x
  3. Step 3: Cross multiply
    83,295.45x = 114,867 × 70,547.67
  4. Step 4: Simplify right side
    83,295.45x = 8,103,599,209.89
  5. Step 5: Solve for x
    x = 8,103,599,209.89/83,295.45
  6. Step 6: Final answer
    x = 97,287.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.