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Finding the Fourth Proportional to 357,082.13, 535,341.36 and 177,043.42

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Solution

The fourth proportional to 357,082.13, 535,341.36 and 177,043.42 is: 265,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,082.13 : 535,341.36 = 177,043.42 : x
  2. Step 2: Convert to fraction form
    357,082.13/535,341.36 = 177,043.42/x
  3. Step 3: Cross multiply
    357,082.13x = 535,341.36 × 177,043.42
  4. Step 4: Simplify right side
    357,082.13x = 94,778,666,574.94
  5. Step 5: Solve for x
    x = 94,778,666,574.94/357,082.13
  6. Step 6: Final answer
    x = 265,425.40

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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.