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Finding the Fourth Proportional to 152,492.32, 210,439.20 and 85,424.32

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Solution

The fourth proportional to 152,492.32, 210,439.20 and 85,424.32 is: 117,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,492.32 : 210,439.20 = 85,424.32 : x
  2. Step 2: Convert to fraction form
    152,492.32/210,439.20 = 85,424.32/x
  3. Step 3: Cross multiply
    152,492.32x = 210,439.20 × 85,424.32
  4. Step 4: Simplify right side
    152,492.32x = 17,976,625,561.34
  5. Step 5: Solve for x
    x = 17,976,625,561.34/152,492.32
  6. Step 6: Final answer
    x = 117,885.45

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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.