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Finding the Fourth Proportional to 97,232.46, 134,210.46 and 56,406.90

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Solution

The fourth proportional to 97,232.46, 134,210.46 and 56,406.90 is: 77,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232.46 : 134,210.46 = 56,406.90 : x
  2. Step 2: Convert to fraction form
    97,232.46/134,210.46 = 56,406.90/x
  3. Step 3: Cross multiply
    97,232.46x = 134,210.46 × 56,406.90
  4. Step 4: Simplify right side
    97,232.46x = 7,570,395,996.17
  5. Step 5: Solve for x
    x = 7,570,395,996.17/97,232.46
  6. Step 6: Final answer
    x = 77,858.73

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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.