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Finding the Fourth Proportional to 160,762.78, 221,851.74 and 89,153.38

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Solution

The fourth proportional to 160,762.78, 221,851.74 and 89,153.38 is: 123,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,762.78 : 221,851.74 = 89,153.38 : x
  2. Step 2: Convert to fraction form
    160,762.78/221,851.74 = 89,153.38/x
  3. Step 3: Cross multiply
    160,762.78x = 221,851.74 × 89,153.38
  4. Step 4: Simplify right side
    160,762.78x = 19,778,832,479.88
  5. Step 5: Solve for x
    x = 19,778,832,479.88/160,762.78
  6. Step 6: Final answer
    x = 123,031.17

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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.