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Finding the Fourth Proportional to 239,056.32, 359,196.48 and 180,444

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Solution

The fourth proportional to 239,056.32, 359,196.48 and 180,444 is: 271,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,056.32 : 359,196.48 = 180,444 : x
  2. Step 2: Convert to fraction form
    239,056.32/359,196.48 = 180,444/x
  3. Step 3: Cross multiply
    239,056.32x = 359,196.48 × 180,444
  4. Step 4: Simplify right side
    239,056.32x = 64,814,849,637.12
  5. Step 5: Solve for x
    x = 64,814,849,637.12/239,056.32
  6. Step 6: Final answer
    x = 271,127.95

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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.