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Finding the Fourth Proportional to 210,859.40, 316,239.41 and 77,667.32

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Solution

The fourth proportional to 210,859.40, 316,239.41 and 77,667.32 is: 116,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.40 : 316,239.41 = 77,667.32 : x
  2. Step 2: Convert to fraction form
    210,859.40/316,239.41 = 77,667.32/x
  3. Step 3: Cross multiply
    210,859.40x = 316,239.41 × 77,667.32
  4. Step 4: Simplify right side
    210,859.40x = 24,561,465,483.55
  5. Step 5: Solve for x
    x = 24,561,465,483.55/210,859.40
  6. Step 6: Final answer
    x = 116,482.67

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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.