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Finding the Fourth Proportional to 152,316, 210,196.80 and 85,260.96

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Solution

The fourth proportional to 152,316, 210,196.80 and 85,260.96 is: 117,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,316 : 210,196.80 = 85,260.96 : x
  2. Step 2: Convert to fraction form
    152,316/210,196.80 = 85,260.96/x
  3. Step 3: Cross multiply
    152,316x = 210,196.80 × 85,260.96
  4. Step 4: Simplify right side
    152,316x = 17,921,580,956.93
  5. Step 5: Solve for x
    x = 17,921,580,956.93/152,316
  6. Step 6: Final answer
    x = 117,660.53

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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.