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Finding the Fourth Proportional to 282,005.40, 423,008.10 and 163,615.80

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Solution

The fourth proportional to 282,005.40, 423,008.10 and 163,615.80 is: 245,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.40 : 423,008.10 = 163,615.80 : x
  2. Step 2: Convert to fraction form
    282,005.40/423,008.10 = 163,615.80/x
  3. Step 3: Cross multiply
    282,005.40x = 423,008.10 × 163,615.80
  4. Step 4: Simplify right side
    282,005.40x = 69,210,808,687.98
  5. Step 5: Solve for x
    x = 69,210,808,687.98/282,005.40
  6. Step 6: Final answer
    x = 245,423.70

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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.