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Finding the Fourth Proportional to 105,762.51, 145,942.76 and 60,440.38

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Solution

The fourth proportional to 105,762.51, 145,942.76 and 60,440.38 is: 83,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.51 : 145,942.76 = 60,440.38 : x
  2. Step 2: Convert to fraction form
    105,762.51/145,942.76 = 60,440.38/x
  3. Step 3: Cross multiply
    105,762.51x = 145,942.76 × 60,440.38
  4. Step 4: Simplify right side
    105,762.51x = 8,820,835,658.89
  5. Step 5: Solve for x
    x = 8,820,835,658.89/105,762.51
  6. Step 6: Final answer
    x = 83,402.29

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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.