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Finding the Fourth Proportional to 160,470.95, 221,457.51 and 96,807.38

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Solution

The fourth proportional to 160,470.95, 221,457.51 and 96,807.38 is: 133,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,470.95 : 221,457.51 = 96,807.38 : x
  2. Step 2: Convert to fraction form
    160,470.95/221,457.51 = 96,807.38/x
  3. Step 3: Cross multiply
    160,470.95x = 221,457.51 × 96,807.38
  4. Step 4: Simplify right side
    160,470.95x = 21,438,720,217.14
  5. Step 5: Solve for x
    x = 21,438,720,217.14/160,470.95
  6. Step 6: Final answer
    x = 133,598.77

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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.