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Finding the Fourth Proportional to 164,107.84, 226,468.98 and 88,656.40

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Solution

The fourth proportional to 164,107.84, 226,468.98 and 88,656.40 is: 122,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,107.84 : 226,468.98 = 88,656.40 : x
  2. Step 2: Convert to fraction form
    164,107.84/226,468.98 = 88,656.40/x
  3. Step 3: Cross multiply
    164,107.84x = 226,468.98 × 88,656.40
  4. Step 4: Simplify right side
    164,107.84x = 20,077,924,478.47
  5. Step 5: Solve for x
    x = 20,077,924,478.47/164,107.84
  6. Step 6: Final answer
    x = 122,345.92

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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.