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Finding the Fourth Proportional to 158,863.64, 219,427.26 and 118,756.50

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Solution

The fourth proportional to 158,863.64, 219,427.26 and 118,756.50 is: 164,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,863.64 : 219,427.26 = 118,756.50 : x
  2. Step 2: Convert to fraction form
    158,863.64/219,427.26 = 118,756.50/x
  3. Step 3: Cross multiply
    158,863.64x = 219,427.26 × 118,756.50
  4. Step 4: Simplify right side
    158,863.64x = 26,058,413,402.19
  5. Step 5: Solve for x
    x = 26,058,413,402.19/158,863.64
  6. Step 6: Final answer
    x = 164,030.07

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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.