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Finding the Fourth Proportional to 102,384.33, 153,482.93 and 86,690.48

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Solution

The fourth proportional to 102,384.33, 153,482.93 and 86,690.48 is: 129,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.33 : 153,482.93 = 86,690.48 : x
  2. Step 2: Convert to fraction form
    102,384.33/153,482.93 = 86,690.48/x
  3. Step 3: Cross multiply
    102,384.33x = 153,482.93 × 86,690.48
  4. Step 4: Simplify right side
    102,384.33x = 13,305,507,672.64
  5. Step 5: Solve for x
    x = 13,305,507,672.64/102,384.33
  6. Step 6: Final answer
    x = 129,956.49

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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.