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Finding the Fourth Proportional to 105,476.78, 145,557.95 and 57,730.12

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Solution

The fourth proportional to 105,476.78, 145,557.95 and 57,730.12 is: 79,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,476.78 : 145,557.95 = 57,730.12 : x
  2. Step 2: Convert to fraction form
    105,476.78/145,557.95 = 57,730.12/x
  3. Step 3: Cross multiply
    105,476.78x = 145,557.95 × 57,730.12
  4. Step 4: Simplify right side
    105,476.78x = 8,403,078,375.32
  5. Step 5: Solve for x
    x = 8,403,078,375.32/105,476.78
  6. Step 6: Final answer
    x = 79,667.57

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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.