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Finding the Fourth Proportional to 177,574.60, 266,070.30 and 147,831.40

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Solution

The fourth proportional to 177,574.60, 266,070.30 and 147,831.40 is: 221,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,574.60 : 266,070.30 = 147,831.40 : x
  2. Step 2: Convert to fraction form
    177,574.60/266,070.30 = 147,831.40/x
  3. Step 3: Cross multiply
    177,574.60x = 266,070.30 × 147,831.40
  4. Step 4: Simplify right side
    177,574.60x = 39,333,544,947.42
  5. Step 5: Solve for x
    x = 39,333,544,947.42/177,574.60
  6. Step 6: Final answer
    x = 221,504.34

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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.