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Finding the Fourth Proportional to 156,897, 235,345.50 and 46,089

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Solution

The fourth proportional to 156,897, 235,345.50 and 46,089 is: 69,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,897 : 235,345.50 = 46,089 : x
  2. Step 2: Convert to fraction form
    156,897/235,345.50 = 46,089/x
  3. Step 3: Cross multiply
    156,897x = 235,345.50 × 46,089
  4. Step 4: Simplify right side
    156,897x = 10,846,838,749.50
  5. Step 5: Solve for x
    x = 10,846,838,749.50/156,897
  6. Step 6: Final answer
    x = 69,133.50

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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.