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Finding the Fourth Proportional to 253,774.08, 380,632.32 and 66,800.16

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Solution

The fourth proportional to 253,774.08, 380,632.32 and 66,800.16 is: 100,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,774.08 : 380,632.32 = 66,800.16 : x
  2. Step 2: Convert to fraction form
    253,774.08/380,632.32 = 66,800.16/x
  3. Step 3: Cross multiply
    253,774.08x = 380,632.32 × 66,800.16
  4. Step 4: Simplify right side
    253,774.08x = 25,426,299,877.17
  5. Step 5: Solve for x
    x = 25,426,299,877.17/253,774.08
  6. Step 6: Final answer
    x = 100,192.66

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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.