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Finding the Fourth Proportional to 106,415.88, 146,854.90 and 58,670.92

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Solution

The fourth proportional to 106,415.88, 146,854.90 and 58,670.92 is: 80,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.88 : 146,854.90 = 58,670.92 : x
  2. Step 2: Convert to fraction form
    106,415.88/146,854.90 = 58,670.92/x
  3. Step 3: Cross multiply
    106,415.88x = 146,854.90 × 58,670.92
  4. Step 4: Simplify right side
    106,415.88x = 8,616,112,089.51
  5. Step 5: Solve for x
    x = 8,616,112,089.51/106,415.88
  6. Step 6: Final answer
    x = 80,966.41

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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.