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Finding the Fourth Proportional to 197,649.95, 296,483.13 and 57,408.58

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Solution

The fourth proportional to 197,649.95, 296,483.13 and 57,408.58 is: 86,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,649.95 : 296,483.13 = 57,408.58 : x
  2. Step 2: Convert to fraction form
    197,649.95/296,483.13 = 57,408.58/x
  3. Step 3: Cross multiply
    197,649.95x = 296,483.13 × 57,408.58
  4. Step 4: Simplify right side
    197,649.95x = 17,020,674,746.05
  5. Step 5: Solve for x
    x = 17,020,674,746.05/197,649.95
  6. Step 6: Final answer
    x = 86,115.25

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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.