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Finding the Fourth Proportional to 249,647.04, 344,428.80 and 142,141.02

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Solution

The fourth proportional to 249,647.04, 344,428.80 and 142,141.02 is: 196,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,647.04 : 344,428.80 = 142,141.02 : x
  2. Step 2: Convert to fraction form
    249,647.04/344,428.80 = 142,141.02/x
  3. Step 3: Cross multiply
    249,647.04x = 344,428.80 × 142,141.02
  4. Step 4: Simplify right side
    249,647.04x = 48,957,460,949.38
  5. Step 5: Solve for x
    x = 48,957,460,949.38/249,647.04
  6. Step 6: Final answer
    x = 196,106.72

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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.