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Finding the Fourth Proportional to 301,886.72, 416,607.98 and 165,933.24

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Solution

The fourth proportional to 301,886.72, 416,607.98 and 165,933.24 is: 228,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886.72 : 416,607.98 = 165,933.24 : x
  2. Step 2: Convert to fraction form
    301,886.72/416,607.98 = 165,933.24/x
  3. Step 3: Cross multiply
    301,886.72x = 416,607.98 × 165,933.24
  4. Step 4: Simplify right side
    301,886.72x = 69,129,111,931.26
  5. Step 5: Solve for x
    x = 69,129,111,931.26/301,886.72
  6. Step 6: Final answer
    x = 228,990.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.