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Finding the Fourth Proportional to 205,091.60, 307,637.40 and 152,603.60

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Solution

The fourth proportional to 205,091.60, 307,637.40 and 152,603.60 is: 228,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,091.60 : 307,637.40 = 152,603.60 : x
  2. Step 2: Convert to fraction form
    205,091.60/307,637.40 = 152,603.60/x
  3. Step 3: Cross multiply
    205,091.60x = 307,637.40 × 152,603.60
  4. Step 4: Simplify right side
    205,091.60x = 46,946,574,734.64
  5. Step 5: Solve for x
    x = 46,946,574,734.64/205,091.60
  6. Step 6: Final answer
    x = 228,905.40

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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.