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Finding the Fourth Proportional to 160,752, 221,838.08 and 90,096

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Solution

The fourth proportional to 160,752, 221,838.08 and 90,096 is: 124,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,752 : 221,838.08 = 90,096 : x
  2. Step 2: Convert to fraction form
    160,752/221,838.08 = 90,096/x
  3. Step 3: Cross multiply
    160,752x = 221,838.08 × 90,096
  4. Step 4: Simplify right side
    160,752x = 19,986,723,655.68
  5. Step 5: Solve for x
    x = 19,986,723,655.68/160,752
  6. Step 6: Final answer
    x = 124,332.66

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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.