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Finding the Fourth Proportional to 475,957.63, 714,003.27 and 139,023.01

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Solution

The fourth proportional to 475,957.63, 714,003.27 and 139,023.01 is: 208,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,957.63 : 714,003.27 = 139,023.01 : x
  2. Step 2: Convert to fraction form
    475,957.63/714,003.27 = 139,023.01/x
  3. Step 3: Cross multiply
    475,957.63x = 714,003.27 × 139,023.01
  4. Step 4: Simplify right side
    475,957.63x = 99,262,883,745.24
  5. Step 5: Solve for x
    x = 99,262,883,745.24/475,957.63
  6. Step 6: Final answer
    x = 208,554.03

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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.