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Finding the Fourth Proportional to 153,014.34, 229,558.44 and 53,160

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Solution

The fourth proportional to 153,014.34, 229,558.44 and 53,160 is: 79,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,014.34 : 229,558.44 = 53,160 : x
  2. Step 2: Convert to fraction form
    153,014.34/229,558.44 = 53,160/x
  3. Step 3: Cross multiply
    153,014.34x = 229,558.44 × 53,160
  4. Step 4: Simplify right side
    153,014.34x = 12,203,326,670.40
  5. Step 5: Solve for x
    x = 12,203,326,670.40/153,014.34
  6. Step 6: Final answer
    x = 79,752.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.