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Finding the Fourth Proportional to 205,130.60, 307,695.90 and 175,063.40

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Solution

The fourth proportional to 205,130.60, 307,695.90 and 175,063.40 is: 262,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130.60 : 307,695.90 = 175,063.40 : x
  2. Step 2: Convert to fraction form
    205,130.60/307,695.90 = 175,063.40/x
  3. Step 3: Cross multiply
    205,130.60x = 307,695.90 × 175,063.40
  4. Step 4: Simplify right side
    205,130.60x = 53,866,290,420.06
  5. Step 5: Solve for x
    x = 53,866,290,420.06/205,130.60
  6. Step 6: Final answer
    x = 262,595.10

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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.