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Finding the Fourth Proportional to 146,197.42, 201,801.09 and 85,746

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Solution

The fourth proportional to 146,197.42, 201,801.09 and 85,746 is: 118,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.42 : 201,801.09 = 85,746 : x
  2. Step 2: Convert to fraction form
    146,197.42/201,801.09 = 85,746/x
  3. Step 3: Cross multiply
    146,197.42x = 201,801.09 × 85,746
  4. Step 4: Simplify right side
    146,197.42x = 17,303,636,263.14
  5. Step 5: Solve for x
    x = 17,303,636,263.14/146,197.42
  6. Step 6: Final answer
    x = 118,358.01

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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.