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Finding the Fourth Proportional to 97,165.69, 134,122.21 and 56,892.40

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Solution

The fourth proportional to 97,165.69, 134,122.21 and 56,892.40 is: 78,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,165.69 : 134,122.21 = 56,892.40 : x
  2. Step 2: Convert to fraction form
    97,165.69/134,122.21 = 56,892.40/x
  3. Step 3: Cross multiply
    97,165.69x = 134,122.21 × 56,892.40
  4. Step 4: Simplify right side
    97,165.69x = 7,630,533,942.67
  5. Step 5: Solve for x
    x = 7,630,533,942.67/97,165.69
  6. Step 6: Final answer
    x = 78,531.16

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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.