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Finding the Fourth Proportional to 123,070.58, 184,678.54 and 51,988.62

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Solution

The fourth proportional to 123,070.58, 184,678.54 and 51,988.62 is: 78,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,070.58 : 184,678.54 = 51,988.62 : x
  2. Step 2: Convert to fraction form
    123,070.58/184,678.54 = 51,988.62/x
  3. Step 3: Cross multiply
    123,070.58x = 184,678.54 × 51,988.62
  4. Step 4: Simplify right side
    123,070.58x = 9,601,182,438.21
  5. Step 5: Solve for x
    x = 9,601,182,438.21/123,070.58
  6. Step 6: Final answer
    x = 78,013.63

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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.