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Finding the Fourth Proportional to 119,416.60, 164,790.75 and 65,701.06

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Solution

The fourth proportional to 119,416.60, 164,790.75 and 65,701.06 is: 90,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416.60 : 164,790.75 = 65,701.06 : x
  2. Step 2: Convert to fraction form
    119,416.60/164,790.75 = 65,701.06/x
  3. Step 3: Cross multiply
    119,416.60x = 164,790.75 × 65,701.06
  4. Step 4: Simplify right side
    119,416.60x = 10,826,926,953.20
  5. Step 5: Solve for x
    x = 10,826,926,953.20/119,416.60
  6. Step 6: Final answer
    x = 90,665.18

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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.