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Finding the Fourth Proportional to 210,897.93, 291,038.35 and 114,101.47

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Solution

The fourth proportional to 210,897.93, 291,038.35 and 114,101.47 is: 157,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,897.93 : 291,038.35 = 114,101.47 : x
  2. Step 2: Convert to fraction form
    210,897.93/291,038.35 = 114,101.47/x
  3. Step 3: Cross multiply
    210,897.93x = 291,038.35 × 114,101.47
  4. Step 4: Simplify right side
    210,897.93x = 33,207,903,561.37
  5. Step 5: Solve for x
    x = 33,207,903,561.37/210,897.93
  6. Step 6: Final answer
    x = 157,459.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.