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Finding the Fourth Proportional to 118,973.68, 164,184.57 and 65,258.12

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Solution

The fourth proportional to 118,973.68, 164,184.57 and 65,258.12 is: 90,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,973.68 : 164,184.57 = 65,258.12 : x
  2. Step 2: Convert to fraction form
    118,973.68/164,184.57 = 65,258.12/x
  3. Step 3: Cross multiply
    118,973.68x = 164,184.57 × 65,258.12
  4. Step 4: Simplify right side
    118,973.68x = 10,714,376,781.67
  5. Step 5: Solve for x
    x = 10,714,376,781.67/118,973.68
  6. Step 6: Final answer
    x = 90,056.70

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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.