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Finding the Fourth Proportional to 153,809.98, 212,192.32 and 96,410.11

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Solution

The fourth proportional to 153,809.98, 212,192.32 and 96,410.11 is: 133,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.98 : 212,192.32 = 96,410.11 : x
  2. Step 2: Convert to fraction form
    153,809.98/212,192.32 = 96,410.11/x
  3. Step 3: Cross multiply
    153,809.98x = 212,192.32 × 96,410.11
  4. Step 4: Simplify right side
    153,809.98x = 20,457,484,912.36
  5. Step 5: Solve for x
    x = 20,457,484,912.36/153,809.98
  6. Step 6: Final answer
    x = 133,004.93

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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.