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Finding the Fourth Proportional to 127,424.16, 191,237.36 and 68,303.52

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Solution

The fourth proportional to 127,424.16, 191,237.36 and 68,303.52 is: 102,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424.16 : 191,237.36 = 68,303.52 : x
  2. Step 2: Convert to fraction form
    127,424.16/191,237.36 = 68,303.52/x
  3. Step 3: Cross multiply
    127,424.16x = 191,237.36 × 68,303.52
  4. Step 4: Simplify right side
    127,424.16x = 13,062,184,843.51
  5. Step 5: Solve for x
    x = 13,062,184,843.51/127,424.16
  6. Step 6: Final answer
    x = 102,509.48

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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.