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Finding the Fourth Proportional to 190,715.78, 286,166.56 and 78,429.74

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Solution

The fourth proportional to 190,715.78, 286,166.56 and 78,429.74 is: 117,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,715.78 : 286,166.56 = 78,429.74 : x
  2. Step 2: Convert to fraction form
    190,715.78/286,166.56 = 78,429.74/x
  3. Step 3: Cross multiply
    190,715.78x = 286,166.56 × 78,429.74
  4. Step 4: Simplify right side
    190,715.78x = 22,443,968,897.49
  5. Step 5: Solve for x
    x = 22,443,968,897.49/190,715.78
  6. Step 6: Final answer
    x = 117,682.81

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1.5x scale

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.