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Finding the Fourth Proportional to 105,285.84, 145,296.38 and 57,541.20

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Solution

The fourth proportional to 105,285.84, 145,296.38 and 57,541.20 is: 79,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,285.84 : 145,296.38 = 57,541.20 : x
  2. Step 2: Convert to fraction form
    105,285.84/145,296.38 = 57,541.20/x
  3. Step 3: Cross multiply
    105,285.84x = 145,296.38 × 57,541.20
  4. Step 4: Simplify right side
    105,285.84x = 8,360,528,060.86
  5. Step 5: Solve for x
    x = 8,360,528,060.86/105,285.84
  6. Step 6: Final answer
    x = 79,407.91

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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.