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Finding the Fourth Proportional to 152,527.32, 210,487.10 and 85,459.16

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Solution

The fourth proportional to 152,527.32, 210,487.10 and 85,459.16 is: 117,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,527.32 : 210,487.10 = 85,459.16 : x
  2. Step 2: Convert to fraction form
    152,527.32/210,487.10 = 85,459.16/x
  3. Step 3: Cross multiply
    152,527.32x = 210,487.10 × 85,459.16
  4. Step 4: Simplify right side
    152,527.32x = 17,988,050,756.84
  5. Step 5: Solve for x
    x = 17,988,050,756.84/152,527.32
  6. Step 6: Final answer
    x = 117,933.30

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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.