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Finding the Fourth Proportional to 194,492.12, 291,267.90 and 160,965.40

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Solution

The fourth proportional to 194,492.12, 291,267.90 and 160,965.40 is: 241,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,492.12 : 291,267.90 = 160,965.40 : x
  2. Step 2: Convert to fraction form
    194,492.12/291,267.90 = 160,965.40/x
  3. Step 3: Cross multiply
    194,492.12x = 291,267.90 × 160,965.40
  4. Step 4: Simplify right side
    194,492.12x = 46,884,054,030.66
  5. Step 5: Solve for x
    x = 46,884,054,030.66/194,492.12
  6. Step 6: Final answer
    x = 241,058.89

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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.