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Finding the Fourth Proportional to 145,852.75, 218,779.14 and 47,356.75

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Solution

The fourth proportional to 145,852.75, 218,779.14 and 47,356.75 is: 71,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,852.75 : 218,779.14 = 47,356.75 : x
  2. Step 2: Convert to fraction form
    145,852.75/218,779.14 = 47,356.75/x
  3. Step 3: Cross multiply
    145,852.75x = 218,779.14 × 47,356.75
  4. Step 4: Simplify right side
    145,852.75x = 10,360,669,038.20
  5. Step 5: Solve for x
    x = 10,360,669,038.20/145,852.75
  6. Step 6: Final answer
    x = 71,035.13

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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.