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Finding the Fourth Proportional to 208,041.40, 287,094.33 and 116,162.11

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Solution

The fourth proportional to 208,041.40, 287,094.33 and 116,162.11 is: 160,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.40 : 287,094.33 = 116,162.11 : x
  2. Step 2: Convert to fraction form
    208,041.40/287,094.33 = 116,162.11/x
  3. Step 3: Cross multiply
    208,041.40x = 287,094.33 × 116,162.11
  4. Step 4: Simplify right side
    208,041.40x = 33,349,483,500.70
  5. Step 5: Solve for x
    x = 33,349,483,500.70/208,041.40
  6. Step 6: Final answer
    x = 160,302.15

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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.