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Finding the Fourth Proportional to 162,803.80, 243,826.62 and 158,319.40

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Solution

The fourth proportional to 162,803.80, 243,826.62 and 158,319.40 is: 237,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,803.80 : 243,826.62 = 158,319.40 : x
  2. Step 2: Convert to fraction form
    162,803.80/243,826.62 = 158,319.40/x
  3. Step 3: Cross multiply
    162,803.80x = 243,826.62 × 158,319.40
  4. Step 4: Simplify right side
    162,803.80x = 38,602,484,182.43
  5. Step 5: Solve for x
    x = 38,602,484,182.43/162,803.80
  6. Step 6: Final answer
    x = 237,110.46

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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.