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Finding the Fourth Proportional to 153,820.45, 214,823.75 and 153,820.45

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Solution

The fourth proportional to 153,820.45, 214,823.75 and 153,820.45 is: 214,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.45 : 214,823.75 = 153,820.45 : x
  2. Step 2: Convert to fraction form
    153,820.45/214,823.75 = 153,820.45/x
  3. Step 3: Cross multiply
    153,820.45x = 214,823.75 × 153,820.45
  4. Step 4: Simplify right side
    153,820.45x = 33,044,285,895.69
  5. Step 5: Solve for x
    x = 33,044,285,895.69/153,820.45
  6. Step 6: Final answer
    x = 214,823.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.