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Finding the Fourth Proportional to 154,152, 212,729.76 and 83,496

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Solution

The fourth proportional to 154,152, 212,729.76 and 83,496 is: 115,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,152 : 212,729.76 = 83,496 : x
  2. Step 2: Convert to fraction form
    154,152/212,729.76 = 83,496/x
  3. Step 3: Cross multiply
    154,152x = 212,729.76 × 83,496
  4. Step 4: Simplify right side
    154,152x = 17,762,084,040.96
  5. Step 5: Solve for x
    x = 17,762,084,040.96/154,152
  6. Step 6: Final answer
    x = 115,224.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.