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Finding the Fourth Proportional to 153,049.14, 211,206.69 and 85,981.14

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Solution

The fourth proportional to 153,049.14, 211,206.69 and 85,981.14 is: 118,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,049.14 : 211,206.69 = 85,981.14 : x
  2. Step 2: Convert to fraction form
    153,049.14/211,206.69 = 85,981.14/x
  3. Step 3: Cross multiply
    153,049.14x = 211,206.69 × 85,981.14
  4. Step 4: Simplify right side
    153,049.14x = 18,159,791,981.83
  5. Step 5: Solve for x
    x = 18,159,791,981.83/153,049.14
  6. Step 6: Final answer
    x = 118,653.34

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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.