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Finding the Fourth Proportional to 153,853.66, 230,813.86 and 47,237.98

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Solution

The fourth proportional to 153,853.66, 230,813.86 and 47,237.98 is: 70,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,853.66 : 230,813.86 = 47,237.98 : x
  2. Step 2: Convert to fraction form
    153,853.66/230,813.86 = 47,237.98/x
  3. Step 3: Cross multiply
    153,853.66x = 230,813.86 × 47,237.98
  4. Step 4: Simplify right side
    153,853.66x = 10,903,180,502.40
  5. Step 5: Solve for x
    x = 10,903,180,502.40/153,853.66
  6. Step 6: Final answer
    x = 70,867.22

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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.