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Finding the Fourth Proportional to 102,176.25, 154,224.08 and 102,176.25

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Solution

The fourth proportional to 102,176.25, 154,224.08 and 102,176.25 is: 154,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,176.25 : 154,224.08 = 102,176.25 : x
  2. Step 2: Convert to fraction form
    102,176.25/154,224.08 = 102,176.25/x
  3. Step 3: Cross multiply
    102,176.25x = 154,224.08 × 102,176.25
  4. Step 4: Simplify right side
    102,176.25x = 15,758,037,643.22
  5. Step 5: Solve for x
    x = 15,758,037,643.22/102,176.25
  6. Step 6: Final answer
    x = 154,224.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.