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Finding the Fourth Proportional to 121,192.91, 167,160.70 and 105,030.98

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Solution

The fourth proportional to 121,192.91, 167,160.70 and 105,030.98 is: 144,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,192.91 : 167,160.70 = 105,030.98 : x
  2. Step 2: Convert to fraction form
    121,192.91/167,160.70 = 105,030.98/x
  3. Step 3: Cross multiply
    121,192.91x = 167,160.70 × 105,030.98
  4. Step 4: Simplify right side
    121,192.91x = 17,557,050,777.53
  5. Step 5: Solve for x
    x = 17,557,050,777.53/121,192.91
  6. Step 6: Final answer
    x = 144,868.64

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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.