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Finding the Fourth Proportional to 282,134.48, 423,386.04 and 134,402

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Solution

The fourth proportional to 282,134.48, 423,386.04 and 134,402 is: 201,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,134.48 : 423,386.04 = 134,402 : x
  2. Step 2: Convert to fraction form
    282,134.48/423,386.04 = 134,402/x
  3. Step 3: Cross multiply
    282,134.48x = 423,386.04 × 134,402
  4. Step 4: Simplify right side
    282,134.48x = 56,903,930,548.08
  5. Step 5: Solve for x
    x = 56,903,930,548.08/282,134.48
  6. Step 6: Final answer
    x = 201,690.81

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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.