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Finding the Fourth Proportional to 152,005.60, 227,662.80 and 96,018.40

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Solution

The fourth proportional to 152,005.60, 227,662.80 and 96,018.40 is: 143,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005.60 : 227,662.80 = 96,018.40 : x
  2. Step 2: Convert to fraction form
    152,005.60/227,662.80 = 96,018.40/x
  3. Step 3: Cross multiply
    152,005.60x = 227,662.80 × 96,018.40
  4. Step 4: Simplify right side
    152,005.60x = 21,859,817,795.52
  5. Step 5: Solve for x
    x = 21,859,817,795.52/152,005.60
  6. Step 6: Final answer
    x = 143,809.29

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1.5x scale

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.