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Finding the Fourth Proportional to 292,989.83, 439,528.59 and 106,045.07

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Solution

The fourth proportional to 292,989.83, 439,528.59 and 106,045.07 is: 159,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,989.83 : 439,528.59 = 106,045.07 : x
  2. Step 2: Convert to fraction form
    292,989.83/439,528.59 = 106,045.07/x
  3. Step 3: Cross multiply
    292,989.83x = 439,528.59 × 106,045.07
  4. Step 4: Simplify right side
    292,989.83x = 46,609,837,895.91
  5. Step 5: Solve for x
    x = 46,609,837,895.91/292,989.83
  6. Step 6: Final answer
    x = 159,083.47

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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.