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Finding the Fourth Proportional to 216,032.40, 324,048.60 and 149,547.60

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Solution

The fourth proportional to 216,032.40, 324,048.60 and 149,547.60 is: 224,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,032.40 : 324,048.60 = 149,547.60 : x
  2. Step 2: Convert to fraction form
    216,032.40/324,048.60 = 149,547.60/x
  3. Step 3: Cross multiply
    216,032.40x = 324,048.60 × 149,547.60
  4. Step 4: Simplify right side
    216,032.40x = 48,460,690,413.36
  5. Step 5: Solve for x
    x = 48,460,690,413.36/216,032.40
  6. Step 6: Final answer
    x = 224,321.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.