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Finding the Fourth Proportional to 141,435, 195,180.34 and 77,777.16

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Solution

The fourth proportional to 141,435, 195,180.34 and 77,777.16 is: 107,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,435 : 195,180.34 = 77,777.16 : x
  2. Step 2: Convert to fraction form
    141,435/195,180.34 = 77,777.16/x
  3. Step 3: Cross multiply
    141,435x = 195,180.34 × 77,777.16
  4. Step 4: Simplify right side
    141,435x = 15,180,572,533.03
  5. Step 5: Solve for x
    x = 15,180,572,533.03/141,435
  6. Step 6: Final answer
    x = 107,332.50

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1.5x scale

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.