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Finding the Fourth Proportional to 210,529.40, 316,085.70 and 166,206.20

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Solution

The fourth proportional to 210,529.40, 316,085.70 and 166,206.20 is: 249,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,529.40 : 316,085.70 = 166,206.20 : x
  2. Step 2: Convert to fraction form
    210,529.40/316,085.70 = 166,206.20/x
  3. Step 3: Cross multiply
    210,529.40x = 316,085.70 × 166,206.20
  4. Step 4: Simplify right side
    210,529.40x = 52,535,403,071.34
  5. Step 5: Solve for x
    x = 52,535,403,071.34/210,529.40
  6. Step 6: Final answer
    x = 249,539.51

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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.