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Finding the Fourth Proportional to 162,345.75, 223,892.11 and 101,922.07

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Solution

The fourth proportional to 162,345.75, 223,892.11 and 101,922.07 is: 140,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,345.75 : 223,892.11 = 101,922.07 : x
  2. Step 2: Convert to fraction form
    162,345.75/223,892.11 = 101,922.07/x
  3. Step 3: Cross multiply
    162,345.75x = 223,892.11 × 101,922.07
  4. Step 4: Simplify right side
    162,345.75x = 22,819,547,307.87
  5. Step 5: Solve for x
    x = 22,819,547,307.87/162,345.75
  6. Step 6: Final answer
    x = 140,561.41

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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.