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Finding the Fourth Proportional to 152,405.52, 210,320.24 and 84,421

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Solution

The fourth proportional to 152,405.52, 210,320.24 and 84,421 is: 116,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.52 : 210,320.24 = 84,421 : x
  2. Step 2: Convert to fraction form
    152,405.52/210,320.24 = 84,421/x
  3. Step 3: Cross multiply
    152,405.52x = 210,320.24 × 84,421
  4. Step 4: Simplify right side
    152,405.52x = 17,755,444,981.04
  5. Step 5: Solve for x
    x = 17,755,444,981.04/152,405.52
  6. Step 6: Final answer
    x = 116,501.32

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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.