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Finding the Fourth Proportional to 105,758.71, 145,946.11 and 58,011.19

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Solution

The fourth proportional to 105,758.71, 145,946.11 and 58,011.19 is: 80,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.71 : 145,946.11 = 58,011.19 : x
  2. Step 2: Convert to fraction form
    105,758.71/145,946.11 = 58,011.19/x
  3. Step 3: Cross multiply
    105,758.71x = 145,946.11 × 58,011.19
  4. Step 4: Simplify right side
    105,758.71x = 8,466,506,932.27
  5. Step 5: Solve for x
    x = 8,466,506,932.27/105,758.71
  6. Step 6: Final answer
    x = 80,054.94

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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.