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Finding the Fourth Proportional to 171,914.16, 257,870.88 and 97,000.32

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Solution

The fourth proportional to 171,914.16, 257,870.88 and 97,000.32 is: 145,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,914.16 : 257,870.88 = 97,000.32 : x
  2. Step 2: Convert to fraction form
    171,914.16/257,870.88 = 97,000.32/x
  3. Step 3: Cross multiply
    171,914.16x = 257,870.88 × 97,000.32
  4. Step 4: Simplify right side
    171,914.16x = 25,013,557,878.68
  5. Step 5: Solve for x
    x = 25,013,557,878.68/171,914.16
  6. Step 6: Final answer
    x = 145,500.28

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1.5x scale

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.