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Finding the Fourth Proportional to 233,413.61, 322,114.95 and 137,920.10

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Solution

The fourth proportional to 233,413.61, 322,114.95 and 137,920.10 is: 190,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,413.61 : 322,114.95 = 137,920.10 : x
  2. Step 2: Convert to fraction form
    233,413.61/322,114.95 = 137,920.10/x
  3. Step 3: Cross multiply
    233,413.61x = 322,114.95 × 137,920.10
  4. Step 4: Simplify right side
    233,413.61x = 44,426,124,504.92
  5. Step 5: Solve for x
    x = 44,426,124,504.92/233,413.61
  6. Step 6: Final answer
    x = 190,332.20

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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.