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Finding the Fourth Proportional to 153,954, 212,430.60 and 102,884.58

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Solution

The fourth proportional to 153,954, 212,430.60 and 102,884.58 is: 141,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,954 : 212,430.60 = 102,884.58 : x
  2. Step 2: Convert to fraction form
    153,954/212,430.60 = 102,884.58/x
  3. Step 3: Cross multiply
    153,954x = 212,430.60 × 102,884.58
  4. Step 4: Simplify right side
    153,954x = 21,855,833,060.15
  5. Step 5: Solve for x
    x = 21,855,833,060.15/153,954
  6. Step 6: Final answer
    x = 141,963.40

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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.