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Finding the Fourth Proportional to 249,499.94, 344,310.46 and 142,070.07

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Solution

The fourth proportional to 249,499.94, 344,310.46 and 142,070.07 is: 196,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,499.94 : 344,310.46 = 142,070.07 : x
  2. Step 2: Convert to fraction form
    249,499.94/344,310.46 = 142,070.07/x
  3. Step 3: Cross multiply
    249,499.94x = 344,310.46 × 142,070.07
  4. Step 4: Simplify right side
    249,499.94x = 48,916,210,798.76
  5. Step 5: Solve for x
    x = 48,916,210,798.76/249,499.94
  6. Step 6: Final answer
    x = 196,057.00

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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.