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Finding the Fourth Proportional to 164,223.84, 245,855.94 and 148,465.28

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Solution

The fourth proportional to 164,223.84, 245,855.94 and 148,465.28 is: 222,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.84 : 245,855.94 = 148,465.28 : x
  2. Step 2: Convert to fraction form
    164,223.84/245,855.94 = 148,465.28/x
  3. Step 3: Cross multiply
    164,223.84x = 245,855.94 × 148,465.28
  4. Step 4: Simplify right side
    164,223.84x = 36,501,070,971.76
  5. Step 5: Solve for x
    x = 36,501,070,971.76/164,223.84
  6. Step 6: Final answer
    x = 222,264.14

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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.