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Finding the Fourth Proportional to 118,946.84, 164,148.87 and 65,228.64

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Solution

The fourth proportional to 118,946.84, 164,148.87 and 65,228.64 is: 90,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946.84 : 164,148.87 = 65,228.64 : x
  2. Step 2: Convert to fraction form
    118,946.84/164,148.87 = 65,228.64/x
  3. Step 3: Cross multiply
    118,946.84x = 164,148.87 × 65,228.64
  4. Step 4: Simplify right side
    118,946.84x = 10,707,207,547.64
  5. Step 5: Solve for x
    x = 10,707,207,547.64/118,946.84
  6. Step 6: Final answer
    x = 90,016.75

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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.