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Finding the Fourth Proportional to 194,465.60, 291,698.40 and 147,809.60

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Solution

The fourth proportional to 194,465.60, 291,698.40 and 147,809.60 is: 221,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.60 : 291,698.40 = 147,809.60 : x
  2. Step 2: Convert to fraction form
    194,465.60/291,698.40 = 147,809.60/x
  3. Step 3: Cross multiply
    194,465.60x = 291,698.40 × 147,809.60
  4. Step 4: Simplify right side
    194,465.60x = 43,115,823,824.64
  5. Step 5: Solve for x
    x = 43,115,823,824.64/194,465.60
  6. Step 6: Final answer
    x = 221,714.40

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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.