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Finding the Fourth Proportional to 126,866.16, 190,302.32 and 42,627.53

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Solution

The fourth proportional to 126,866.16, 190,302.32 and 42,627.53 is: 63,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,866.16 : 190,302.32 = 42,627.53 : x
  2. Step 2: Convert to fraction form
    126,866.16/190,302.32 = 42,627.53/x
  3. Step 3: Cross multiply
    126,866.16x = 190,302.32 × 42,627.53
  4. Step 4: Simplify right side
    126,866.16x = 8,112,118,628.81
  5. Step 5: Solve for x
    x = 8,112,118,628.81/126,866.16
  6. Step 6: Final answer
    x = 63,942.34

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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.