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Finding the Fourth Proportional to 209,298.32, 313,526.64 and 96,820.64

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Solution

The fourth proportional to 209,298.32, 313,526.64 and 96,820.64 is: 145,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,298.32 : 313,526.64 = 96,820.64 : x
  2. Step 2: Convert to fraction form
    209,298.32/313,526.64 = 96,820.64/x
  3. Step 3: Cross multiply
    209,298.32x = 313,526.64 × 96,820.64
  4. Step 4: Simplify right side
    209,298.32x = 30,355,849,941.85
  5. Step 5: Solve for x
    x = 30,355,849,941.85/209,298.32
  6. Step 6: Final answer
    x = 145,036.28

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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.