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Finding the Fourth Proportional to 160,300.38, 221,050.71 and 106,594.14

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Solution

The fourth proportional to 160,300.38, 221,050.71 and 106,594.14 is: 146,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,300.38 : 221,050.71 = 106,594.14 : x
  2. Step 2: Convert to fraction form
    160,300.38/221,050.71 = 106,594.14/x
  3. Step 3: Cross multiply
    160,300.38x = 221,050.71 × 106,594.14
  4. Step 4: Simplify right side
    160,300.38x = 23,562,710,328.84
  5. Step 5: Solve for x
    x = 23,562,710,328.84/160,300.38
  6. Step 6: Final answer
    x = 146,990.98

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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.