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Finding the Fourth Proportional to 282,555.84, 423,740.16 and 114,032.64

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Solution

The fourth proportional to 282,555.84, 423,740.16 and 114,032.64 is: 171,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,555.84 : 423,740.16 = 114,032.64 : x
  2. Step 2: Convert to fraction form
    282,555.84/423,740.16 = 114,032.64/x
  3. Step 3: Cross multiply
    282,555.84x = 423,740.16 × 114,032.64
  4. Step 4: Simplify right side
    282,555.84x = 48,320,209,118.82
  5. Step 5: Solve for x
    x = 48,320,209,118.82/282,555.84
  6. Step 6: Final answer
    x = 171,011.19

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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.