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Finding the Fourth Proportional to 148,465, 222,139.50 and 104,178.16

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Solution

The fourth proportional to 148,465, 222,139.50 and 104,178.16 is: 155,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,465 : 222,139.50 = 104,178.16 : x
  2. Step 2: Convert to fraction form
    148,465/222,139.50 = 104,178.16/x
  3. Step 3: Cross multiply
    148,465x = 222,139.50 × 104,178.16
  4. Step 4: Simplify right side
    148,465x = 23,142,084,373.32
  5. Step 5: Solve for x
    x = 23,142,084,373.32/148,465
  6. Step 6: Final answer
    x = 155,875.69

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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.