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Finding the Fourth Proportional to 265,610, 366,541.80 and 146,378

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Solution

The fourth proportional to 265,610, 366,541.80 and 146,378 is: 202,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,610 : 366,541.80 = 146,378 : x
  2. Step 2: Convert to fraction form
    265,610/366,541.80 = 146,378/x
  3. Step 3: Cross multiply
    265,610x = 366,541.80 × 146,378
  4. Step 4: Simplify right side
    265,610x = 53,653,655,600.40
  5. Step 5: Solve for x
    x = 53,653,655,600.40/265,610
  6. Step 6: Final answer
    x = 202,001.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.