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Finding the Fourth Proportional to 127,122.84, 190,642.40 and 42,860.24

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Solution

The fourth proportional to 127,122.84, 190,642.40 and 42,860.24 is: 64,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122.84 : 190,642.40 = 42,860.24 : x
  2. Step 2: Convert to fraction form
    127,122.84/190,642.40 = 42,860.24/x
  3. Step 3: Cross multiply
    127,122.84x = 190,642.40 × 42,860.24
  4. Step 4: Simplify right side
    127,122.84x = 8,170,979,018.18
  5. Step 5: Solve for x
    x = 8,170,979,018.18/127,122.84
  6. Step 6: Final answer
    x = 64,276.25

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