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Finding the Fourth Proportional to 97,216.96, 134,168.96 and 56,928.32

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Solution

The fourth proportional to 97,216.96, 134,168.96 and 56,928.32 is: 78,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,216.96 : 134,168.96 = 56,928.32 : x
  2. Step 2: Convert to fraction form
    97,216.96/134,168.96 = 56,928.32/x
  3. Step 3: Cross multiply
    97,216.96x = 134,168.96 × 56,928.32
  4. Step 4: Simplify right side
    97,216.96x = 7,638,013,488.95
  5. Step 5: Solve for x
    x = 7,638,013,488.95/97,216.96
  6. Step 6: Final answer
    x = 78,566.68

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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.