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Finding the Fourth Proportional to 134,261.44, 201,392.80 and 40,768

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Solution

The fourth proportional to 134,261.44, 201,392.80 and 40,768 is: 61,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,261.44 : 201,392.80 = 40,768 : x
  2. Step 2: Convert to fraction form
    134,261.44/201,392.80 = 40,768/x
  3. Step 3: Cross multiply
    134,261.44x = 201,392.80 × 40,768
  4. Step 4: Simplify right side
    134,261.44x = 8,210,381,670.40
  5. Step 5: Solve for x
    x = 8,210,381,670.40/134,261.44
  6. Step 6: Final answer
    x = 61,152.19

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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.