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Finding the Fourth Proportional to 249,322.64, 344,014.22 and 147,296.96

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Solution

The fourth proportional to 249,322.64, 344,014.22 and 147,296.96 is: 203,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,322.64 : 344,014.22 = 147,296.96 : x
  2. Step 2: Convert to fraction form
    249,322.64/344,014.22 = 147,296.96/x
  3. Step 3: Cross multiply
    249,322.64x = 344,014.22 × 147,296.96
  4. Step 4: Simplify right side
    249,322.64x = 50,672,248,741.00
  5. Step 5: Solve for x
    x = 50,672,248,741.00/249,322.64
  6. Step 6: Final answer
    x = 203,239.66

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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.