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Finding the Fourth Proportional to 157,783.06, 217,664.88 and 114,695.74

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Solution

The fourth proportional to 157,783.06, 217,664.88 and 114,695.74 is: 158,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,783.06 : 217,664.88 = 114,695.74 : x
  2. Step 2: Convert to fraction form
    157,783.06/217,664.88 = 114,695.74/x
  3. Step 3: Cross multiply
    157,783.06x = 217,664.88 × 114,695.74
  4. Step 4: Simplify right side
    157,783.06x = 24,965,234,483.61
  5. Step 5: Solve for x
    x = 24,965,234,483.61/157,783.06
  6. Step 6: Final answer
    x = 158,225.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.