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Finding the Fourth Proportional to 159,032.40, 219,465.92 and 87,413.60

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Solution

The fourth proportional to 159,032.40, 219,465.92 and 87,413.60 is: 120,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032.40 : 219,465.92 = 87,413.60 : x
  2. Step 2: Convert to fraction form
    159,032.40/219,465.92 = 87,413.60/x
  3. Step 3: Cross multiply
    159,032.40x = 219,465.92 × 87,413.60
  4. Step 4: Simplify right side
    159,032.40x = 19,184,306,144.51
  5. Step 5: Solve for x
    x = 19,184,306,144.51/159,032.40
  6. Step 6: Final answer
    x = 120,631.43

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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.