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Finding the Fourth Proportional to 140,564.50, 210,875.91 and 57,458.50

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Solution

The fourth proportional to 140,564.50, 210,875.91 and 57,458.50 is: 86,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.50 : 210,875.91 = 57,458.50 : x
  2. Step 2: Convert to fraction form
    140,564.50/210,875.91 = 57,458.50/x
  3. Step 3: Cross multiply
    140,564.50x = 210,875.91 × 57,458.50
  4. Step 4: Simplify right side
    140,564.50x = 12,116,613,474.74
  5. Step 5: Solve for x
    x = 12,116,613,474.74/140,564.50
  6. Step 6: Final answer
    x = 86,199.67

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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.