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Finding the Fourth Proportional to 152,643.33, 228,918.35 and 105,561

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Solution

The fourth proportional to 152,643.33, 228,918.35 and 105,561 is: 158,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,643.33 : 228,918.35 = 105,561 : x
  2. Step 2: Convert to fraction form
    152,643.33/228,918.35 = 105,561/x
  3. Step 3: Cross multiply
    152,643.33x = 228,918.35 × 105,561
  4. Step 4: Simplify right side
    152,643.33x = 24,164,850,208.25
  5. Step 5: Solve for x
    x = 24,164,850,208.25/152,643.33
  6. Step 6: Final answer
    x = 158,309.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.