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Finding the Fourth Proportional to 105,770.61, 145,962.63 and 58,023.63

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Solution

The fourth proportional to 105,770.61, 145,962.63 and 58,023.63 is: 80,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770.61 : 145,962.63 = 58,023.63 : x
  2. Step 2: Convert to fraction form
    105,770.61/145,962.63 = 58,023.63/x
  3. Step 3: Cross multiply
    105,770.61x = 145,962.63 × 58,023.63
  4. Step 4: Simplify right side
    105,770.61x = 8,469,281,636.95
  5. Step 5: Solve for x
    x = 8,469,281,636.95/105,770.61
  6. Step 6: Final answer
    x = 80,072.16

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1.5x scale

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.