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Finding the Fourth Proportional to 152,561.92, 210,547.87 and 84,600.20

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Solution

The fourth proportional to 152,561.92, 210,547.87 and 84,600.20 is: 116,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,561.92 : 210,547.87 = 84,600.20 : x
  2. Step 2: Convert to fraction form
    152,561.92/210,547.87 = 84,600.20/x
  3. Step 3: Cross multiply
    152,561.92x = 210,547.87 × 84,600.20
  4. Step 4: Simplify right side
    152,561.92x = 17,812,390,858.83
  5. Step 5: Solve for x
    x = 17,812,390,858.83/152,561.92
  6. Step 6: Final answer
    x = 116,755.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.