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Finding the Fourth Proportional to 157,224.30, 235,836.45 and 78,492.30

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Solution

The fourth proportional to 157,224.30, 235,836.45 and 78,492.30 is: 117,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.30 : 235,836.45 = 78,492.30 : x
  2. Step 2: Convert to fraction form
    157,224.30/235,836.45 = 78,492.30/x
  3. Step 3: Cross multiply
    157,224.30x = 235,836.45 × 78,492.30
  4. Step 4: Simplify right side
    157,224.30x = 18,511,345,384.34
  5. Step 5: Solve for x
    x = 18,511,345,384.34/157,224.30
  6. Step 6: Final answer
    x = 117,738.45

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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.