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Finding the Fourth Proportional to 106,465.33, 159,929.81 and 64,365.24

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Solution

The fourth proportional to 106,465.33, 159,929.81 and 64,365.24 is: 96,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,465.33 : 159,929.81 = 64,365.24 : x
  2. Step 2: Convert to fraction form
    106,465.33/159,929.81 = 64,365.24/x
  3. Step 3: Cross multiply
    106,465.33x = 159,929.81 × 64,365.24
  4. Step 4: Simplify right side
    106,465.33x = 10,293,920,203.98
  5. Step 5: Solve for x
    x = 10,293,920,203.98/106,465.33
  6. Step 6: Final answer
    x = 96,688.00

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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.