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Finding the Fourth Proportional to 180,783.83, 249,477.72 and 100,210.65

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Solution

The fourth proportional to 180,783.83, 249,477.72 and 100,210.65 is: 138,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783.83 : 249,477.72 = 100,210.65 : x
  2. Step 2: Convert to fraction form
    180,783.83/249,477.72 = 100,210.65/x
  3. Step 3: Cross multiply
    180,783.83x = 249,477.72 × 100,210.65
  4. Step 4: Simplify right side
    180,783.83x = 25,000,325,137.38
  5. Step 5: Solve for x
    x = 25,000,325,137.38/180,783.83
  6. Step 6: Final answer
    x = 138,288.50

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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.