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Finding the Fourth Proportional to 289,211.68, 433,534.35 and 120,780.16

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Solution

The fourth proportional to 289,211.68, 433,534.35 and 120,780.16 is: 181,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.68 : 433,534.35 = 120,780.16 : x
  2. Step 2: Convert to fraction form
    289,211.68/433,534.35 = 120,780.16/x
  3. Step 3: Cross multiply
    289,211.68x = 433,534.35 × 120,780.16
  4. Step 4: Simplify right side
    289,211.68x = 52,362,348,158.50
  5. Step 5: Solve for x
    x = 52,362,348,158.50/289,211.68
  6. Step 6: Final answer
    x = 181,051.98

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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.