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Finding the Fourth Proportional to 167,427.83, 250,809.59 and 78,411.47

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Solution

The fourth proportional to 167,427.83, 250,809.59 and 78,411.47 is: 117,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,427.83 : 250,809.59 = 78,411.47 : x
  2. Step 2: Convert to fraction form
    167,427.83/250,809.59 = 78,411.47/x
  3. Step 3: Cross multiply
    167,427.83x = 250,809.59 × 78,411.47
  4. Step 4: Simplify right side
    167,427.83x = 19,666,347,583.98
  5. Step 5: Solve for x
    x = 19,666,347,583.98/167,427.83
  6. Step 6: Final answer
    x = 117,461.64

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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.