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Finding the Fourth Proportional to 216,725.76, 325,088.64 and 105,840

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Solution

The fourth proportional to 216,725.76, 325,088.64 and 105,840 is: 158,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,725.76 : 325,088.64 = 105,840 : x
  2. Step 2: Convert to fraction form
    216,725.76/325,088.64 = 105,840/x
  3. Step 3: Cross multiply
    216,725.76x = 325,088.64 × 105,840
  4. Step 4: Simplify right side
    216,725.76x = 34,407,381,657.60
  5. Step 5: Solve for x
    x = 34,407,381,657.60/216,725.76
  6. Step 6: Final answer
    x = 158,760

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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.