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Finding the Fourth Proportional to 152,409.13, 210,324.57 and 84,430.50

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Solution

The fourth proportional to 152,409.13, 210,324.57 and 84,430.50 is: 116,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409.13 : 210,324.57 = 84,430.50 : x
  2. Step 2: Convert to fraction form
    152,409.13/210,324.57 = 84,430.50/x
  3. Step 3: Cross multiply
    152,409.13x = 210,324.57 × 84,430.50
  4. Step 4: Simplify right side
    152,409.13x = 17,757,808,607.39
  5. Step 5: Solve for x
    x = 17,757,808,607.39/152,409.13
  6. Step 6: Final answer
    x = 116,514.07

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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.