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Finding the Fourth Proportional to 537,190.68, 805,698.44 and 158,022.74

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Solution

The fourth proportional to 537,190.68, 805,698.44 and 158,022.74 is: 237,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,190.68 : 805,698.44 = 158,022.74 : x
  2. Step 2: Convert to fraction form
    537,190.68/805,698.44 = 158,022.74/x
  3. Step 3: Cross multiply
    537,190.68x = 805,698.44 × 158,022.74
  4. Step 4: Simplify right side
    537,190.68x = 127,318,671,476.40
  5. Step 5: Solve for x
    x = 127,318,671,476.40/537,190.68
  6. Step 6: Final answer
    x = 237,008.34

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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.