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Finding the Fourth Proportional to 282,418, 423,802.08 and 164,145.04

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Solution

The fourth proportional to 282,418, 423,802.08 and 164,145.04 is: 246,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,418 : 423,802.08 = 164,145.04 : x
  2. Step 2: Convert to fraction form
    282,418/423,802.08 = 164,145.04/x
  3. Step 3: Cross multiply
    282,418x = 423,802.08 × 164,145.04
  4. Step 4: Simplify right side
    282,418x = 69,565,009,373.68
  5. Step 5: Solve for x
    x = 69,565,009,373.68/282,418
  6. Step 6: Final answer
    x = 246,319.32

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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.