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Finding the Fourth Proportional to 103,196.52, 142,303.06 and 76,395.24

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Solution

The fourth proportional to 103,196.52, 142,303.06 and 76,395.24 is: 105,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,196.52 : 142,303.06 = 76,395.24 : x
  2. Step 2: Convert to fraction form
    103,196.52/142,303.06 = 76,395.24/x
  3. Step 3: Cross multiply
    103,196.52x = 142,303.06 × 76,395.24
  4. Step 4: Simplify right side
    103,196.52x = 10,871,276,421.43
  5. Step 5: Solve for x
    x = 10,871,276,421.43/103,196.52
  6. Step 6: Final answer
    x = 105,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.