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Finding the Fourth Proportional to 152,213, 210,053.94 and 85,145

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Solution

The fourth proportional to 152,213, 210,053.94 and 85,145 is: 117,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213 : 210,053.94 = 85,145 : x
  2. Step 2: Convert to fraction form
    152,213/210,053.94 = 85,145/x
  3. Step 3: Cross multiply
    152,213x = 210,053.94 × 85,145
  4. Step 4: Simplify right side
    152,213x = 17,885,042,721.30
  5. Step 5: Solve for x
    x = 17,885,042,721.30/152,213
  6. Step 6: Final answer
    x = 117,500.10

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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.