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Finding the Fourth Proportional to 164,891.40, 231,547.80 and 164,891.40

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Solution

The fourth proportional to 164,891.40, 231,547.80 and 164,891.40 is: 231,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,891.40 : 231,547.80 = 164,891.40 : x
  2. Step 2: Convert to fraction form
    164,891.40/231,547.80 = 164,891.40/x
  3. Step 3: Cross multiply
    164,891.40x = 231,547.80 × 164,891.40
  4. Step 4: Simplify right side
    164,891.40x = 38,180,240,908.92
  5. Step 5: Solve for x
    x = 38,180,240,908.92/164,891.40
  6. Step 6: Final answer
    x = 231,547.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.