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Finding the Fourth Proportional to 105,367.64, 158,051.60 and 43,038.16

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Solution

The fourth proportional to 105,367.64, 158,051.60 and 43,038.16 is: 64,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,367.64 : 158,051.60 = 43,038.16 : x
  2. Step 2: Convert to fraction form
    105,367.64/158,051.60 = 43,038.16/x
  3. Step 3: Cross multiply
    105,367.64x = 158,051.60 × 43,038.16
  4. Step 4: Simplify right side
    105,367.64x = 6,802,250,049.06
  5. Step 5: Solve for x
    x = 6,802,250,049.06/105,367.64
  6. Step 6: Final answer
    x = 64,557.30

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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.