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Finding the Fourth Proportional to 366,567.40, 549,678.54 and 142,033

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Solution

The fourth proportional to 366,567.40, 549,678.54 and 142,033 is: 212,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,567.40 : 549,678.54 = 142,033 : x
  2. Step 2: Convert to fraction form
    366,567.40/549,678.54 = 142,033/x
  3. Step 3: Cross multiply
    366,567.40x = 549,678.54 × 142,033
  4. Step 4: Simplify right side
    366,567.40x = 78,072,492,071.82
  5. Step 5: Solve for x
    x = 78,072,492,071.82/366,567.40
  6. Step 6: Final answer
    x = 212,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.