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Finding the Fourth Proportional to 109,214.80, 163,814.10 and 46,018.60

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Solution

The fourth proportional to 109,214.80, 163,814.10 and 46,018.60 is: 69,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,214.80 : 163,814.10 = 46,018.60 : x
  2. Step 2: Convert to fraction form
    109,214.80/163,814.10 = 46,018.60/x
  3. Step 3: Cross multiply
    109,214.80x = 163,814.10 × 46,018.60
  4. Step 4: Simplify right side
    109,214.80x = 7,538,495,542.26
  5. Step 5: Solve for x
    x = 7,538,495,542.26/109,214.80
  6. Step 6: Final answer
    x = 69,024.49

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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.