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Finding the Fourth Proportional to 164,164.97, 226,547.66 and 88,713.47

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Solution

The fourth proportional to 164,164.97, 226,547.66 and 88,713.47 is: 122,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,164.97 : 226,547.66 = 88,713.47 : x
  2. Step 2: Convert to fraction form
    164,164.97/226,547.66 = 88,713.47/x
  3. Step 3: Cross multiply
    164,164.97x = 226,547.66 × 88,713.47
  4. Step 4: Simplify right side
    164,164.97x = 20,097,829,827.13
  5. Step 5: Solve for x
    x = 20,097,829,827.13/164,164.97
  6. Step 6: Final answer
    x = 122,424.59

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1.5x scale

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.