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Finding the Fourth Proportional to 525,854.12, 788,782.98 and 151,877.12

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Solution

The fourth proportional to 525,854.12, 788,782.98 and 151,877.12 is: 227,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,854.12 : 788,782.98 = 151,877.12 : x
  2. Step 2: Convert to fraction form
    525,854.12/788,782.98 = 151,877.12/x
  3. Step 3: Cross multiply
    525,854.12x = 788,782.98 × 151,877.12
  4. Step 4: Simplify right side
    525,854.12x = 119,798,083,363.50
  5. Step 5: Solve for x
    x = 119,798,083,363.50/525,854.12
  6. Step 6: Final answer
    x = 227,816.19

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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.