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Finding the Fourth Proportional to 180,547.87, 249,415.59 and 144,201.60

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Solution

The fourth proportional to 180,547.87, 249,415.59 and 144,201.60 is: 199,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,547.87 : 249,415.59 = 144,201.60 : x
  2. Step 2: Convert to fraction form
    180,547.87/249,415.59 = 144,201.60/x
  3. Step 3: Cross multiply
    180,547.87x = 249,415.59 × 144,201.60
  4. Step 4: Simplify right side
    180,547.87x = 35,966,127,142.94
  5. Step 5: Solve for x
    x = 35,966,127,142.94/180,547.87
  6. Step 6: Final answer
    x = 199,205.49

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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.