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Finding the Fourth Proportional to 160,402, 221,413.11 and 93,334

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Solution

The fourth proportional to 160,402, 221,413.11 and 93,334 is: 128,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,402 : 221,413.11 = 93,334 : x
  2. Step 2: Convert to fraction form
    160,402/221,413.11 = 93,334/x
  3. Step 3: Cross multiply
    160,402x = 221,413.11 × 93,334
  4. Step 4: Simplify right side
    160,402x = 20,665,371,208.74
  5. Step 5: Solve for x
    x = 20,665,371,208.74/160,402
  6. Step 6: Final answer
    x = 128,834.87

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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.