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Finding the Fourth Proportional to 145,854.94, 201,324.32 and 84,616.60

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Solution

The fourth proportional to 145,854.94, 201,324.32 and 84,616.60 is: 116,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.94 : 201,324.32 = 84,616.60 : x
  2. Step 2: Convert to fraction form
    145,854.94/201,324.32 = 84,616.60/x
  3. Step 3: Cross multiply
    145,854.94x = 201,324.32 × 84,616.60
  4. Step 4: Simplify right side
    145,854.94x = 17,035,379,455.71
  5. Step 5: Solve for x
    x = 17,035,379,455.71/145,854.94
  6. Step 6: Final answer
    x = 116,796.73

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1.5x scale

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.