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Finding the Fourth Proportional to 114,386.10, 171,602.01 and 39,508.98

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Solution

The fourth proportional to 114,386.10, 171,602.01 and 39,508.98 is: 59,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,386.10 : 171,602.01 = 39,508.98 : x
  2. Step 2: Convert to fraction form
    114,386.10/171,602.01 = 39,508.98/x
  3. Step 3: Cross multiply
    114,386.10x = 171,602.01 × 39,508.98
  4. Step 4: Simplify right side
    114,386.10x = 6,779,820,381.05
  5. Step 5: Solve for x
    x = 6,779,820,381.05/114,386.10
  6. Step 6: Final answer
    x = 59,271.37

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Why These Related Problems?

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