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Finding the Fourth Proportional to 154,312.13, 231,343.64 and 141,856.49

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Solution

The fourth proportional to 154,312.13, 231,343.64 and 141,856.49 is: 212,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,312.13 : 231,343.64 = 141,856.49 : x
  2. Step 2: Convert to fraction form
    154,312.13/231,343.64 = 141,856.49/x
  3. Step 3: Cross multiply
    154,312.13x = 231,343.64 × 141,856.49
  4. Step 4: Simplify right side
    154,312.13x = 32,817,594,888.22
  5. Step 5: Solve for x
    x = 32,817,594,888.22/154,312.13
  6. Step 6: Final answer
    x = 212,670.22

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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.