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Finding the Fourth Proportional to 180,653.40, 249,291.11 and 98,965.47

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Solution

The fourth proportional to 180,653.40, 249,291.11 and 98,965.47 is: 136,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,653.40 : 249,291.11 = 98,965.47 : x
  2. Step 2: Convert to fraction form
    180,653.40/249,291.11 = 98,965.47/x
  3. Step 3: Cross multiply
    180,653.40x = 249,291.11 × 98,965.47
  4. Step 4: Simplify right side
    180,653.40x = 24,671,211,373.14
  5. Step 5: Solve for x
    x = 24,671,211,373.14/180,653.40
  6. Step 6: Final answer
    x = 136,566.55

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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.