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Finding the Fourth Proportional to 154,146, 212,721.48 and 83,490

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Solution

The fourth proportional to 154,146, 212,721.48 and 83,490 is: 115,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,146 : 212,721.48 = 83,490 : x
  2. Step 2: Convert to fraction form
    154,146/212,721.48 = 83,490/x
  3. Step 3: Cross multiply
    154,146x = 212,721.48 × 83,490
  4. Step 4: Simplify right side
    154,146x = 17,760,116,365.20
  5. Step 5: Solve for x
    x = 17,760,116,365.20/154,146
  6. Step 6: Final answer
    x = 115,216.20

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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.