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Finding the Fourth Proportional to 164,080, 226,430.49 and 88,628.50

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Solution

The fourth proportional to 164,080, 226,430.49 and 88,628.50 is: 122,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 226,430.49 = 88,628.50 : x
  2. Step 2: Convert to fraction form
    164,080/226,430.49 = 88,628.50/x
  3. Step 3: Cross multiply
    164,080x = 226,430.49 × 88,628.50
  4. Step 4: Simplify right side
    164,080x = 20,068,194,682.97
  5. Step 5: Solve for x
    x = 20,068,194,682.97/164,080
  6. Step 6: Final answer
    x = 122,307.38

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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.