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Finding the Fourth Proportional to 691,457, 1,037,185.50 and 166,145

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Solution

The fourth proportional to 691,457, 1,037,185.50 and 166,145 is: 249,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,457 : 1,037,185.50 = 166,145 : x
  2. Step 2: Convert to fraction form
    691,457/1,037,185.50 = 166,145/x
  3. Step 3: Cross multiply
    691,457x = 1,037,185.50 × 166,145
  4. Step 4: Simplify right side
    691,457x = 172,323,184,897.50
  5. Step 5: Solve for x
    x = 172,323,184,897.50/691,457
  6. Step 6: Final answer
    x = 249,217.50

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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.