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Finding the Fourth Proportional to 157,141.98, 235,437.93 and 107,059.50

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Solution

The fourth proportional to 157,141.98, 235,437.93 and 107,059.50 is: 160,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,141.98 : 235,437.93 = 107,059.50 : x
  2. Step 2: Convert to fraction form
    157,141.98/235,437.93 = 107,059.50/x
  3. Step 3: Cross multiply
    157,141.98x = 235,437.93 × 107,059.50
  4. Step 4: Simplify right side
    157,141.98x = 25,205,867,066.84
  5. Step 5: Solve for x
    x = 25,205,867,066.84/157,141.98
  6. Step 6: Final answer
    x = 160,401.87

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Why These Related Problems?

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