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Finding the Fourth Proportional to 145,689.48, 201,051 and 82,047.60

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Solution

The fourth proportional to 145,689.48, 201,051 and 82,047.60 is: 113,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,689.48 : 201,051 = 82,047.60 : x
  2. Step 2: Convert to fraction form
    145,689.48/201,051 = 82,047.60/x
  3. Step 3: Cross multiply
    145,689.48x = 201,051 × 82,047.60
  4. Step 4: Simplify right side
    145,689.48x = 16,495,752,027.60
  5. Step 5: Solve for x
    x = 16,495,752,027.60/145,689.48
  6. Step 6: Final answer
    x = 113,225.42

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