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Finding the Fourth Proportional to 265,262, 366,061.68 and 146,030

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Solution

The fourth proportional to 265,262, 366,061.68 and 146,030 is: 201,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,262 : 366,061.68 = 146,030 : x
  2. Step 2: Convert to fraction form
    265,262/366,061.68 = 146,030/x
  3. Step 3: Cross multiply
    265,262x = 366,061.68 × 146,030
  4. Step 4: Simplify right side
    265,262x = 53,455,987,130.40
  5. Step 5: Solve for x
    x = 53,455,987,130.40/265,262
  6. Step 6: Final answer
    x = 201,521.47

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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.