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Finding the Fourth Proportional to 210,052.40, 314,495.40 and 204,220.40

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Solution

The fourth proportional to 210,052.40, 314,495.40 and 204,220.40 is: 305,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,052.40 : 314,495.40 = 204,220.40 : x
  2. Step 2: Convert to fraction form
    210,052.40/314,495.40 = 204,220.40/x
  3. Step 3: Cross multiply
    210,052.40x = 314,495.40 × 204,220.40
  4. Step 4: Simplify right side
    210,052.40x = 64,226,376,386.16
  5. Step 5: Solve for x
    x = 64,226,376,386.16/210,052.40
  6. Step 6: Final answer
    x = 305,763.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.