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Finding the Fourth Proportional to 105,140.08, 145,127.90 and 83,669.20

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Solution

The fourth proportional to 105,140.08, 145,127.90 and 83,669.20 is: 115,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,140.08 : 145,127.90 = 83,669.20 : x
  2. Step 2: Convert to fraction form
    105,140.08/145,127.90 = 83,669.20/x
  3. Step 3: Cross multiply
    105,140.08x = 145,127.90 × 83,669.20
  4. Step 4: Simplify right side
    105,140.08x = 12,142,735,953.38
  5. Step 5: Solve for x
    x = 12,142,735,953.38/105,140.08
  6. Step 6: Final answer
    x = 115,491.03

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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.