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Finding the Fourth Proportional to 153,901.16, 212,471.94 and 117,315.38

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Solution

The fourth proportional to 153,901.16, 212,471.94 and 117,315.38 is: 161,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,901.16 : 212,471.94 = 117,315.38 : x
  2. Step 2: Convert to fraction form
    153,901.16/212,471.94 = 117,315.38/x
  3. Step 3: Cross multiply
    153,901.16x = 212,471.94 × 117,315.38
  4. Step 4: Simplify right side
    153,901.16x = 24,926,227,351.55
  5. Step 5: Solve for x
    x = 24,926,227,351.55/153,901.16
  6. Step 6: Final answer
    x = 161,962.57

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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.