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Finding the Fourth Proportional to 295,146.50, 442,813.16 and 105,602.72

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Solution

The fourth proportional to 295,146.50, 442,813.16 and 105,602.72 is: 158,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,146.50 : 442,813.16 = 105,602.72 : x
  2. Step 2: Convert to fraction form
    295,146.50/442,813.16 = 105,602.72/x
  3. Step 3: Cross multiply
    295,146.50x = 442,813.16 × 105,602.72
  4. Step 4: Simplify right side
    295,146.50x = 46,762,272,197.74
  5. Step 5: Solve for x
    x = 46,762,272,197.74/295,146.50
  6. Step 6: Final answer
    x = 158,437.50

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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.