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Finding the Fourth Proportional to 285,277.68, 393,705.36 and 157,965.12

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Solution

The fourth proportional to 285,277.68, 393,705.36 and 157,965.12 is: 218,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277.68 : 393,705.36 = 157,965.12 : x
  2. Step 2: Convert to fraction form
    285,277.68/393,705.36 = 157,965.12/x
  3. Step 3: Cross multiply
    285,277.68x = 393,705.36 × 157,965.12
  4. Step 4: Simplify right side
    285,277.68x = 62,191,714,437.04
  5. Step 5: Solve for x
    x = 62,191,714,437.04/285,277.68
  6. Step 6: Final answer
    x = 218,004.14

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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.