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Finding the Fourth Proportional to 302,073.67, 452,827.40 and 102,254.23

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Solution

The fourth proportional to 302,073.67, 452,827.40 and 102,254.23 is: 153,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,073.67 : 452,827.40 = 102,254.23 : x
  2. Step 2: Convert to fraction form
    302,073.67/452,827.40 = 102,254.23/x
  3. Step 3: Cross multiply
    302,073.67x = 452,827.40 × 102,254.23
  4. Step 4: Simplify right side
    302,073.67x = 46,303,514,845.77
  5. Step 5: Solve for x
    x = 46,303,514,845.77/302,073.67
  6. Step 6: Final answer
    x = 153,285.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.