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Finding the Fourth Proportional to 72,314.90, 97,314.08 and 72,314.90

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Solution

The fourth proportional to 72,314.90, 97,314.08 and 72,314.90 is: 97,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.90 : 97,314.08 = 72,314.90 : x
  2. Step 2: Convert to fraction form
    72,314.90/97,314.08 = 72,314.90/x
  3. Step 3: Cross multiply
    72,314.90x = 97,314.08 × 72,314.90
  4. Step 4: Simplify right side
    72,314.90x = 7,037,257,602.22
  5. Step 5: Solve for x
    x = 7,037,257,602.22/72,314.90
  6. Step 6: Final answer
    x = 97,314.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.