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Finding the Fourth Proportional to 155,315.80, 232,973.70 and 146,567.80

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Solution

The fourth proportional to 155,315.80, 232,973.70 and 146,567.80 is: 219,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,315.80 : 232,973.70 = 146,567.80 : x
  2. Step 2: Convert to fraction form
    155,315.80/232,973.70 = 146,567.80/x
  3. Step 3: Cross multiply
    155,315.80x = 232,973.70 × 146,567.80
  4. Step 4: Simplify right side
    155,315.80x = 34,146,442,666.86
  5. Step 5: Solve for x
    x = 34,146,442,666.86/155,315.80
  6. Step 6: Final answer
    x = 219,851.70

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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.