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Finding the Fourth Proportional to 106,128, 146,456.64 and 61,416

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Solution

The fourth proportional to 106,128, 146,456.64 and 61,416 is: 84,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128 : 146,456.64 = 61,416 : x
  2. Step 2: Convert to fraction form
    106,128/146,456.64 = 61,416/x
  3. Step 3: Cross multiply
    106,128x = 146,456.64 × 61,416
  4. Step 4: Simplify right side
    106,128x = 8,994,781,002.24
  5. Step 5: Solve for x
    x = 8,994,781,002.24/106,128
  6. Step 6: Final answer
    x = 84,754.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.