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Finding the Fourth Proportional to 282,355.16, 423,501.75 and 82,677.50

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Solution

The fourth proportional to 282,355.16, 423,501.75 and 82,677.50 is: 124,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,355.16 : 423,501.75 = 82,677.50 : x
  2. Step 2: Convert to fraction form
    282,355.16/423,501.75 = 82,677.50/x
  3. Step 3: Cross multiply
    282,355.16x = 423,501.75 × 82,677.50
  4. Step 4: Simplify right side
    282,355.16x = 35,014,063,818.12
  5. Step 5: Solve for x
    x = 35,014,063,818.12/282,355.16
  6. Step 6: Final answer
    x = 124,007.17

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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.