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Finding the Fourth Proportional to 341,690.40, 512,543.70 and 105,035.13

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Solution

The fourth proportional to 341,690.40, 512,543.70 and 105,035.13 is: 157,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,690.40 : 512,543.70 = 105,035.13 : x
  2. Step 2: Convert to fraction form
    341,690.40/512,543.70 = 105,035.13/x
  3. Step 3: Cross multiply
    341,690.40x = 512,543.70 × 105,035.13
  4. Step 4: Simplify right side
    341,690.40x = 53,835,094,160.18
  5. Step 5: Solve for x
    x = 53,835,094,160.18/341,690.40
  6. Step 6: Final answer
    x = 157,555.18

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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.