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Finding the Fourth Proportional to 202,154.70, 302,831.10 and 177,222.90

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Solution

The fourth proportional to 202,154.70, 302,831.10 and 177,222.90 is: 265,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.70 : 302,831.10 = 177,222.90 : x
  2. Step 2: Convert to fraction form
    202,154.70/302,831.10 = 177,222.90/x
  3. Step 3: Cross multiply
    202,154.70x = 302,831.10 × 177,222.90
  4. Step 4: Simplify right side
    202,154.70x = 53,668,605,752.19
  5. Step 5: Solve for x
    x = 53,668,605,752.19/202,154.70
  6. Step 6: Final answer
    x = 265,482.85

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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.