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Finding the Fourth Proportional to 282,184.34, 423,289.47 and 71,824.10

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Solution

The fourth proportional to 282,184.34, 423,289.47 and 71,824.10 is: 107,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,184.34 : 423,289.47 = 71,824.10 : x
  2. Step 2: Convert to fraction form
    282,184.34/423,289.47 = 71,824.10/x
  3. Step 3: Cross multiply
    282,184.34x = 423,289.47 × 71,824.10
  4. Step 4: Simplify right side
    282,184.34x = 30,402,385,222.23
  5. Step 5: Solve for x
    x = 30,402,385,222.23/282,184.34
  6. Step 6: Final answer
    x = 107,739.45

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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.