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Finding the Fourth Proportional to 249,323.58, 344,093.64 and 153,827.82

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Solution

The fourth proportional to 249,323.58, 344,093.64 and 153,827.82 is: 212,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,323.58 : 344,093.64 = 153,827.82 : x
  2. Step 2: Convert to fraction form
    249,323.58/344,093.64 = 153,827.82/x
  3. Step 3: Cross multiply
    249,323.58x = 344,093.64 × 153,827.82
  4. Step 4: Simplify right side
    249,323.58x = 52,931,174,517.06
  5. Step 5: Solve for x
    x = 52,931,174,517.06/249,323.58
  6. Step 6: Final answer
    x = 212,299.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.