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Finding the Fourth Proportional to 140,032.84, 209,981.04 and 46,507

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Solution

The fourth proportional to 140,032.84, 209,981.04 and 46,507 is: 69,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,032.84 : 209,981.04 = 46,507 : x
  2. Step 2: Convert to fraction form
    140,032.84/209,981.04 = 46,507/x
  3. Step 3: Cross multiply
    140,032.84x = 209,981.04 × 46,507
  4. Step 4: Simplify right side
    140,032.84x = 9,765,588,227.28
  5. Step 5: Solve for x
    x = 9,765,588,227.28/140,032.84
  6. Step 6: Final answer
    x = 69,737.84

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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.