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Finding the Fourth Proportional to 152,559.84, 210,457.76 and 132,388.40

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Solution

The fourth proportional to 152,559.84, 210,457.76 and 132,388.40 is: 182,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,559.84 : 210,457.76 = 132,388.40 : x
  2. Step 2: Convert to fraction form
    152,559.84/210,457.76 = 132,388.40/x
  3. Step 3: Cross multiply
    152,559.84x = 210,457.76 × 132,388.40
  4. Step 4: Simplify right side
    152,559.84x = 27,862,166,113.98
  5. Step 5: Solve for x
    x = 27,862,166,113.98/152,559.84
  6. Step 6: Final answer
    x = 182,631.07

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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.