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Finding the Fourth Proportional to 180,886.86, 249,572.97 and 142,527.51

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Solution

The fourth proportional to 180,886.86, 249,572.97 and 142,527.51 is: 196,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,886.86 : 249,572.97 = 142,527.51 : x
  2. Step 2: Convert to fraction form
    180,886.86/249,572.97 = 142,527.51/x
  3. Step 3: Cross multiply
    180,886.86x = 249,572.97 × 142,527.51
  4. Step 4: Simplify right side
    180,886.86x = 35,571,013,977.40
  5. Step 5: Solve for x
    x = 35,571,013,977.40/180,886.86
  6. Step 6: Final answer
    x = 196,647.86

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1.5x scale

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.