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Finding the Fourth Proportional to 377,143.70, 565,341.86 and 177,106.01

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Solution

The fourth proportional to 377,143.70, 565,341.86 and 177,106.01 is: 265,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,143.70 : 565,341.86 = 177,106.01 : x
  2. Step 2: Convert to fraction form
    377,143.70/565,341.86 = 177,106.01/x
  3. Step 3: Cross multiply
    377,143.70x = 565,341.86 × 177,106.01
  4. Step 4: Simplify right side
    377,143.70x = 100,125,437,398.34
  5. Step 5: Solve for x
    x = 100,125,437,398.34/377,143.70
  6. Step 6: Final answer
    x = 265,483.52

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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.