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Finding the Fourth Proportional to 261,001.98, 360,208.01 and 146,300.11

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Solution

The fourth proportional to 261,001.98, 360,208.01 and 146,300.11 is: 201,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,001.98 : 360,208.01 = 146,300.11 : x
  2. Step 2: Convert to fraction form
    261,001.98/360,208.01 = 146,300.11/x
  3. Step 3: Cross multiply
    261,001.98x = 360,208.01 × 146,300.11
  4. Step 4: Simplify right side
    261,001.98x = 52,698,470,951.11
  5. Step 5: Solve for x
    x = 52,698,470,951.11/261,001.98
  6. Step 6: Final answer
    x = 201,908.32

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1.5x scale

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.