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Finding the Fourth Proportional to 205,064.90, 307,597.35 and 202,300.10

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Solution

The fourth proportional to 205,064.90, 307,597.35 and 202,300.10 is: 303,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064.90 : 307,597.35 = 202,300.10 : x
  2. Step 2: Convert to fraction form
    205,064.90/307,597.35 = 202,300.10/x
  3. Step 3: Cross multiply
    205,064.90x = 307,597.35 × 202,300.10
  4. Step 4: Simplify right side
    205,064.90x = 62,226,974,664.74
  5. Step 5: Solve for x
    x = 62,226,974,664.74/205,064.90
  6. Step 6: Final answer
    x = 303,450.15

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1.5x scale

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.