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Finding the Fourth Proportional to 270,492, 405,831.51 and 102,060.60

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Solution

The fourth proportional to 270,492, 405,831.51 and 102,060.60 is: 153,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,492 : 405,831.51 = 102,060.60 : x
  2. Step 2: Convert to fraction form
    270,492/405,831.51 = 102,060.60/x
  3. Step 3: Cross multiply
    270,492x = 405,831.51 × 102,060.60
  4. Step 4: Simplify right side
    270,492x = 41,419,407,409.51
  5. Step 5: Solve for x
    x = 41,419,407,409.51/270,492
  6. Step 6: Final answer
    x = 153,126.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.