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Finding the Fourth Proportional to 122,066.88, 183,041.76 and 51,908.16

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Solution

The fourth proportional to 122,066.88, 183,041.76 and 51,908.16 is: 77,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,066.88 : 183,041.76 = 51,908.16 : x
  2. Step 2: Convert to fraction form
    122,066.88/183,041.76 = 51,908.16/x
  3. Step 3: Cross multiply
    122,066.88x = 183,041.76 × 51,908.16
  4. Step 4: Simplify right side
    122,066.88x = 9,501,360,964.76
  5. Step 5: Solve for x
    x = 9,501,360,964.76/122,066.88
  6. Step 6: Final answer
    x = 77,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.