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Finding the Fourth Proportional to 233,033.94, 321,639.93 and 164,980.17

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Solution

The fourth proportional to 233,033.94, 321,639.93 and 164,980.17 is: 227,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,033.94 : 321,639.93 = 164,980.17 : x
  2. Step 2: Convert to fraction form
    233,033.94/321,639.93 = 164,980.17/x
  3. Step 3: Cross multiply
    233,033.94x = 321,639.93 × 164,980.17
  4. Step 4: Simplify right side
    233,033.94x = 53,064,210,330.19
  5. Step 5: Solve for x
    x = 53,064,210,330.19/233,033.94
  6. Step 6: Final answer
    x = 227,710.22

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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.