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Finding the Fourth Proportional to 180,970.88, 249,740.01 and 105,533.96

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Solution

The fourth proportional to 180,970.88, 249,740.01 and 105,533.96 is: 145,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,970.88 : 249,740.01 = 105,533.96 : x
  2. Step 2: Convert to fraction form
    180,970.88/249,740.01 = 105,533.96/x
  3. Step 3: Cross multiply
    180,970.88x = 249,740.01 × 105,533.96
  4. Step 4: Simplify right side
    180,970.88x = 26,356,050,977.04
  5. Step 5: Solve for x
    x = 26,356,050,977.04/180,970.88
  6. Step 6: Final answer
    x = 145,636.98

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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.