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Finding the Fourth Proportional to 432,055.16, 648,082.80 and 116,512.10

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Solution

The fourth proportional to 432,055.16, 648,082.80 and 116,512.10 is: 174,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,055.16 : 648,082.80 = 116,512.10 : x
  2. Step 2: Convert to fraction form
    432,055.16/648,082.80 = 116,512.10/x
  3. Step 3: Cross multiply
    432,055.16x = 648,082.80 × 116,512.10
  4. Step 4: Simplify right side
    432,055.16x = 75,509,484,178.91
  5. Step 5: Solve for x
    x = 75,509,484,178.91/432,055.16
  6. Step 6: Final answer
    x = 174,768.16

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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.