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Finding the Fourth Proportional to 346,721.80, 520,082.70 and 160,097.80

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Solution

The fourth proportional to 346,721.80, 520,082.70 and 160,097.80 is: 240,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,721.80 : 520,082.70 = 160,097.80 : x
  2. Step 2: Convert to fraction form
    346,721.80/520,082.70 = 160,097.80/x
  3. Step 3: Cross multiply
    346,721.80x = 520,082.70 × 160,097.80
  4. Step 4: Simplify right side
    346,721.80x = 83,264,096,088.06
  5. Step 5: Solve for x
    x = 83,264,096,088.06/346,721.80
  6. Step 6: Final answer
    x = 240,146.70

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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.