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Finding the Fourth Proportional to 106,575, 147,088.08 and 61,863

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Solution

The fourth proportional to 106,575, 147,088.08 and 61,863 is: 85,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,575 : 147,088.08 = 61,863 : x
  2. Step 2: Convert to fraction form
    106,575/147,088.08 = 61,863/x
  3. Step 3: Cross multiply
    106,575x = 147,088.08 × 61,863
  4. Step 4: Simplify right side
    106,575x = 9,099,309,893.04
  5. Step 5: Solve for x
    x = 9,099,309,893.04/106,575
  6. Step 6: Final answer
    x = 85,379.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.