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Finding the Fourth Proportional to 224,831.64, 309,907.26 and 152,211.64

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Solution

The fourth proportional to 224,831.64, 309,907.26 and 152,211.64 is: 209,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,831.64 : 309,907.26 = 152,211.64 : x
  2. Step 2: Convert to fraction form
    224,831.64/309,907.26 = 152,211.64/x
  3. Step 3: Cross multiply
    224,831.64x = 309,907.26 × 152,211.64
  4. Step 4: Simplify right side
    224,831.64x = 47,171,492,292.51
  5. Step 5: Solve for x
    x = 47,171,492,292.51/224,831.64
  6. Step 6: Final answer
    x = 209,808.07

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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.